This is not entirely true. You will get relegated, but you will get immediate promotion due to the bot cleanup.
This is no true. Such a team stays in its league. Only if there is at least one human team on lowest level, team get demoted and return to some division of the old level (except few unlucky ones with worst record which end up in the lowest divsion regardless).
This is correct, relegation is not run for the lowest league level that has human teams, so those teams won't change leagues.
It's still possible for some teams to re-promote under certain circumstances, in which case they will end up with a net loss of season-ticket holders (due to the relegation penalty and promotion bonus to STH applied, in this order). It is also correct that those teams will not collect promotion bonus, contrary to my previous belief.
"I don't know half of you half as well as I should like; and I like less than half of you half as well as you deserve."