Once again this is not the actual case you are making an assumption that the Helm of Domination was the basis from which a Lich King was created. That is totally incorrect… time for a little history lesson…
To clear all this up you need to actually understand who, how and what was the actual first Lich King that appeared on Azeroth as this is the key piece of the whole puzzle that you seem to be missing for some reason…
You need to understand that there is an entity that is called the The Lich King and they are very different to Lich King Death Knights - such as Arthas and Bolvar.
The Lich King - Was a Spirit that was encased in a ice tomb so lacked an actual corporeal body
When Ner’zhul attempted to escape Draenor, he was immediately apprehended by the demon lord Kil’jaeden. Kil’jaeden tore the old shaman’s body apart, but kept his spirit intact and aware. Ner’zhul begged for death, but Kil’jaeden said he still had a purpose to serve. He offered Ner’zhul one last chance to serve the Burning Legion or face eternal torment. When the orc recklessly agreed, Kil’jaeden encased his spirit in a block of diamond-hard ice from the distant reaches of the Twisting Nether. Encased within the frozen cask and warped by the demon lord’s chaotic powers, Ner’zhul felt his consciousness expand ten thousand-fold and he became a spectral being of unfathomable power: the Lich King. The new being was sent to Azeroth with the Helm of Domination and Frostmourne merged with his icy tomb.
This spirit encased in that ice tomb was sent to Azeroth through the Great Dark Beyond, landing in Northrend directly ON TOP of ICECROWN CITADEL where the ice tomb that housed the spirit actually transmuted into the shape of a throne - I.E THE FROZEN THRONE IS THE INDESTRUCTIBLE VESSEL THAT HOUSES THE SPIRIT OF NER’ZHUL THE OG LICH KING .
Note: This is the reason the actual Frozen Throne is on top of Icecrown and not located in some throne room it is the impact site where the ice tomb impacted with no way to move to another location etc… This is a something that I think many players don’t actually know or just haven’t understood what transpired etc.
How did a spirit entombed in a frozen thrown acquire the Helm of Domination along with Frostmourne and how did Arthas come across Frostmourne?
The nathrezim who pretended to serve the Burning Legion bore the two vessels of Domination across the vei and bound the spirit of the Lich King Ner’zhul to them. The helm, and Ner’zhul’s spirit, were both sealed within the Frozen Throne from which the Lich King would control the Scourge telepathically. Frostmourne was originally also sealed inside the Frozen Throne, but Ner’zhul cast it from the throne so that it would eventually find its way to Arthas Menethil.
Okay so basically you have what essentially constitutes to an indestructible immortal spirit in the form of an spirit entombed inside a Frozen Throne made from the Twisting Nether making it much the same as Saronite unbreakable even though it supposedly is Ice it isn’t normal Ice by any means.
Arthas actually became a DEATH KNIGHT first and served under The Lich King Ner’zhul
Prince Arthas himself fell prey to the Lich King’s tremendous power. Believing that it would help him save his people, Arthas took up the cursed runeblade, Frostmourne. Though the sword did grant him great power, the cost was high: Muradin lay dead (or so Arthas believed), and Arthas began to lose his soul, transformed into the first and greatest of the Lich King Ner’zhul’s death knights
So Arthas was turned in to a Death Knight when he picked up Frostmourne however, it wasn’t Frostmourne that did that it was The Lich King Ner’zhul. Ner’zhul was able to use the fact that part of his spirit to Frostmourne and this enabled him to use the sword as a conduit through which he could twist the soul of Arthas through necromancy to make him and Undead Death Knight… This is important to know because it makes Arthas unique as he was never a corpse that was risen through Dark Rebirth to become a Death Knight. Instead he was transformed in to a Death Knight while he was ALIVE…just take a moment to soak that in…
How did Arthas and in turn Bolvar become the Lich King?
So many wrongly think that it is the Helm of Domination that was the catalyst that made them both become The Lich King. Sure the Helm just like Frostmourne has part of Ner’Zhul’s spirit bound to each of them providing him the ability to use them as conduits through which he can influence and modify things just like he did when he made Arthas an undead Death Knight.
However, the way that both Arthas and Bolvar became the Lich King was to actually merge their souls with the spirit of Ner’Zhul who is the actual Lich King…i.e. you can’t be The Lich King without Ner’zhul spiritually merging and what is it that holds the actual spirit of Ner’Zhul… THE FROZEN THRONE…
Now lets look at the order of things that both Artha and Bolvar did when they became the Lich King?
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They sat on the FROZEN THRONE providing the direct connection between them and Ner’zhul to merge their spirits.
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They put on the Helm of Domination and as they do they are entombed in the FROZEN THRONE… i.e. their physical and spiritual bodies are entombed with the spirit of Ner’zhul and a battle of wills starts between them and Ner’zhul i.e. their spirits are already merged and it happened when they sat on the Frozen Throne initially however, Ner’zhul requires the Helm of Domination to provide the conduit through which he can communicate and attempt to influence control etc. Though Arthas actually made a bargain with Ner’zhul giving each something like a 50% share preventing either from taking full control over the other. It is possible that Bolvar might have done something similar but it isn’t something that we know we just know that Bolvar seems to clearly have greater control.
Bolvar is not the same as other Death Knight and isn’t even the same type of undead
As I have mentioned Dark Rebirth is the process by which a corpse is risen and transformed in to an undead Death Knight but this wasn’t the process the Bolvar went through.
Bolvar was killed by the Forsaken Blight during the events that transpired at the Battle of Angrathar the Wrathgate. He was then actually reanimated by the flames of rebirth by the red dragons and this meant that his undead body was charred beyond recognition and it provided him with a connection to Fire as well as Ice based abilities and powers…
Essentially the only reason Bolvar has access to Death Knight powers is due to his merging with Ner’zhul and it is Ner’zhul that provides Bolvar with the means to use Death Knight powers as Bolvar wasn’t a Death Knight after his reanimation/transformation in to an undead.
I am hoping that helps a little to see that there is and always will be a LICH KING because Ner’zhul will always be entombed inside the FROZEN THRONE. However, without access to the items his spirit has a binding connection he lacks any conduits to make use of however, there is the source conduit which remains i.e the Frozen Throne.
Hopefully that helps to clear things up the Frozen Throne isn’t just a ice seat on the top of Icecrown it is actually something very different it’s the vessel in which the actual LICH KING is entombed.