A “problem” is the metrics for that goal are unfalsifiable.

However that problem becomes a feature if the actual goal is not the stated goal.

Unequal outcomes will produce unequal future opportunities. This fact undermines any of premise from that start. And compelled equalization will commence just the same.

So this is a distinction without much of a difference. Certainly rule of law and various good faith attempts to provide opportunity are understandable. But when the outcomes simply are not equal along various group identity lines or this or that interest group achieves less wealth and power than another, no one is going to give up that game and say "OK, fair play, we lost the outcome."

No, pursuit of human self interest does not ever stop. So there's no endgame to any of this.

You cannot make everyone equal. Freedom and equality collide at some point. People need to grow out of that assumption because acceptance of that fact can alleviate cases of injustice. You are not solving any problems with such a strategy, you only make everything worse.