Yes, any analogy will break down if you chase it to the fringes, but in this case, the central core of the analogy doesn't work. That makes it a bad analogy - y

Yes, any analogy will break down if you chase it to the fringes, but in this case, the central core of the analogy doesn't work. That makes it a bad analogy - you may as well just explain what's going on directly. Or spend the trivial effort to make a better one.