Could, yes.It is simply absurd to think a known disadvantage must be ignored because a greater one exists. They can both be tackled.
But instead AA has been used for many years do divert attention from the other issues. All that focus on race did not much beside having the poor fight each other over scraps while the rich continue their bought privileges and get richer.
And that is nothing new. Stoking racial tensions has been used as such a tool for centuries.
Some years before i was born, there was a rule of "Only children of working class people are admitted to university". It was later scrapped because of various side effect but it certainly did way more for mixing various strata of society and abolish generational privileges than race based AA ever could.