The club owes a debt to Allam, he's in control of that debt, if he hands the company over to administrators then he loses control of that debt and loses control of his company, unless he does a pre-pack, which doesn't work in this instance, as all the debt is owed to him.
If he wants to stop putting money in, then he simply stops putting money in, nobody is forcing him to keep investing large amounts. As long as we have relegation wage clauses, he can just fund the club with the parachute money(maybe offloading the odd well paid player) and leave his debt sat there earning interest until he got back to the Premier League and had a chance to recoup some of it.
The club pay almost nothing to play at the KC, there would be absolutely no benefit to leaving it.
What you have stated is not fact at all, it would be a ridiculous route to take, it would cost him millions and though he might be a little bonkers, he's not an idiot.