ARAM maps are much smaller than normal games. As such you cannot use flanking and other such tactics that are normally possible to force confrontation.
As an example Garrosh is utterly useless in these situations. Between permanent slow he has no options to get into melee range. If he eventually does, he will likely be at critical health due to all the DPS thrown at him.
Seeing how Arcane Orb is practically overpowered in ARAM, chances are the Li Mings are very high MMR so do not expect to land much on them. The only people who do not choose heroes like Li Ming in their pick are low MMR players who do not yet realize why she is high tier, or maybe if they are forced to be the only healer out of their own kindness.
Seeing how low damage tanks are. That is not going to happen often. Especially given that you will mostly need to take damage reduction and survival talents over damaging ones just to get into melee range.
Actually it is extremely rare to see that. Usually the high tier damage heroes lead by 2-3 times the hero damage, why they are considered high tier.
They might get reasonable kills, but that usually is in a “win more” situation where they can use their chase or anti-escape to finish off heroes that the damage dealers might not be able to. Tyrael is a good example of this due to his dive nature with some CC aspects. If they are at a disadvantage, which happens in half the games, they will be lucky to not end up with most deaths since being a tank and in the front they will be receiving a lot of the enemy damage.
The skill shots might be well aimed because there is no match making. The person might be extremely high MMR making it very difficult to dodge. They will not fire their skill shot without it either being sure to hit someone, or at least providing enough zoning/threat to be worth it.
As an example, heroes like Li Ming just wait for the tank to engage. Not only can they disrupt them with a Wave of Force, separating them from their victim if required, but if their victim was another tank then they can use the opportunity to land 1,500 or more damage, some of which is splash. Sure the tank can take this damage, but this puts huge strain on the healer forcing them to decide who to heal. Now with two or three such heroes landing damage on the tank you are looking at 4,500 odd damage which most tanks cannot survive. Sure they killed the tank, but that is still a kill. This is why tanks often end up with most deaths.
It is not possible to flank effectively in ARAM. The map is too small and there is a high risk that your attempt will be detected (due to your obvious absence) and you will be ambushed in return. Heroes like Li Ming will not let themselves be positioned in a way that tanks can reach them, either scouting bushes before going near or staying away from the enemy team belts. Even if caught they have escape options so require follow up from allies to be killed.
It works most of the time. There are comps that can resist it but many more will fail. Tyrande as only healer? GG.
Sure if your enemies do not use their heroes properly then you can still win. For example if Junkrat spends most of the game dead rather than poking. However due to the lack of match making one cannot assume this is always the case and you will eventually fight that Junkrat who picks Endless Nades and goes to town on your team.