Unless children can send their parents to jail where you live (as opposed to the authorities doing it) that analogy just doesn't work. A more apt analogy would

Unless children can send their parents to jail where you live (as opposed to the authorities doing it) that analogy just doesn't work. A more apt analogy would be children and household chores. In a functioning household with competent adults in charge, the parents aren't dependent on the children to do the chores. The parents can do them by themselves, or pay to have them done. They assign chores to children to instill in them a sense of duty and responsibility to the household (also to teach practical "adulting" skills, but that's beside the point). If the children shirk their chores, punishment is sure to follow. That's a long-winded way of saying that having rich people pay more tax doesn't give them any more influence on politics than they currently have. If anything it might leave them a bit less money to spend on lobbying.