I am not sure I believe in The Axiom of Choice. It just seems like something decided upon because it makes the universe easier, not because it’s true.
There doesn’t have to be a “true” here anyway. Mathematics is just a model, and if the model works well enough, who cares? But the AoC just seems fishy to me, even though I understand why it’s needed. It’s a dirty hack that works when required. That’s it.