And, actually, them LOWERING their cut to a point that would be unsustainable by their competitors WOULD be seen as anti-competitive behavior. Developers would emphatically push all their customers to iOS and why not, it’s where the best deals would be. Some developers may even cut their Android efforts in order to focus on the platform’s store that takes the lower cut.I agree with the rest of your comment, but I would quibble with this point: It's only "greedy" if Apple is somehow taking advantage of their position to charge more than the alternatives.
One of the few benefits Android has is that it’s more open, flexible and configurable. Remove that and you may find yourself in a US where Apple really DOES have a monopoly.