Just because you play many different accounts doesn’t warrant your sample size would be big enough for consistency. If you have 1% chance for a combination of affixes to be really good, then by the loot rates it also has a 9 out of 10 chance of occurring in the non-Ancient loot types. For you to come across a godlike item at Ancient quality, you have to run across the same item a thousand times. What you are doing is claiming the way you “feel” being rightful, and that is oddly out of concept for possibilities.
By the way, thinking affixes have their own weights and potentials in the itemization, 1% is just a rough but optimistic estimation. Some very rare found affixes on weapons, armor and jewelry could have very low weight of 2% for appearance while some has high as 5-8% or more.
Think of the Wheel of Fortune table, similar of that contest show; the rarest affixes are those really high reward slices with the width of a tea spoon, while others are scaled between a soda can and beer keg. From an outlier observer, it looks like you’re complaining about losing as if you meant to win the whole pot with every tenth spin. For the record, that’s never have been the case, no matter what you may have felt; the wheel is not rigged and it just does what it supposed to do.
While this number can vary by slot or group of affixes; for the sake of example, let’s say there are 14 affixes available after guaranteed affixes allocated in primaries. That still does not mean each affix have an equal chance to roll. If you desire an affix between a pool of 14 affixes, not each of them will have 1/14th chance to roll. For very unique affixes (ie. guaranteed elemental damage on some items) you may conclude that those has equal chance of rolling, but for standard affixes that’s not the case.
For example; bleed chance, reduced damage from elites, procs of crowd control chance and such, are really low weight affixes and hard to land those at the normal items, let along on an Ancient grade. Before you conclude that you have farmed enough, do note if you have ever saw either of these low weight affixes for a substantial amount of evidence to claim that game works against you. If you have never seen any of the desired items with an affix with very low odds for rolling, why do you even presume you have seen everything?
Again, game does not work against you; although, game just not be keen on rewarding you right away.
Each affix group, primary and secondary, will have limited amount of remaining possibilities when you nail down the tailored affixes/ attributes such as main stat, damage or defense. Yet that has no impact on each affix’ weight on the system. When you have 30+ available Primary affixes, and 2-3 of them already appearing on the item due it being tailored for your class, combination of remaining ones only become a matter of luck, times their weight.
From the sound of it, you were just split between many accounts, many classes and never accumulate a large enough bulk to compare with given statistics at once. When that’s where you lack, just use Kanai’s Cube to reforge, upgrade rare items or at least gamble from Kadala to up the numbers. First, show some effort, then decide if odds were stacked against you.
To say the least, the general amount of Legendary items in Diablo 3 can be largely substituted, if not, can be replaced via Cube slots or other means. There’s almost always another item which can grant you enough survival or comparable damage output. For the better or the worse, you always have an option to adapt or change your approach as well.
Else at the worst case scenario you just don’t understand math or what pseudo-random means. You will have bad luck, although adapting and having an alternate plan for progress can be part of the game as well. This is still not an excuse to open seemingly non-ending stream of threads without any barging on your opinions.