It's more likely to swing back the other way, in my experience. Entitled parents use their children as a weapon in public, but the attention often stops in private, when the parents want "me time" and still have a burdensome kid to take care of. The kid grows meek and people-pleasing to earn the parent's positive attention and grows emotionally stunted because "crying makes mom and dad mad, emotions are shameful."
It's still an absolute mess of course, but once a parent who shouldn't be a parent reaches a certain level of entitlement, the damage done causes things other than more entitlement.