If anything, AI tends to vastly overengineer things (in a bad way) which makes bloat inevitable. But I'm not sure layers of management are to blame. If anything, good management incentivize the right things and focus a team on work that matters. Bad managers only try to empire build and incentivize the wrong things in their engineers.
I've seen orgs that try to flatten too much end up with ICs basically left in the ether without meaningful direction which causes them to 'build to survive'.