And I'll still say that if you do this [remove wealth by level] without ditching the 'common, powerful magic items' trope, it's insane (or at least an invitation for highly unbalanced games).
Replace it with a way to estimate power due to wealth, and add that on top of a character's or possibly the party's level. The game shouldn't care whether your world is Dark Sun or Monty Haul's Wide World of Magic Shops With Monsters (MHWWMSWM), it should just make sure there are suitable challenges for characters, and give you the tools to quickly estimate what those are. Then the rule for giving out treasure moves from a schedule to "Do or do not, there is no should" without breaking the game.