It's like taking out a mortgage on a house, but letting the house owe the debt.
Isn't that a non-recourse loan, which in some states is the default for the initial loan to acquire the housel
*Coverage of 1:1 is an accident waiting to happen, but otherwise sure.
If PE firm A wants to buy company C using an LBO, it could do so by having C borrow money and then A purchase C, or by creating an entity B that borrows money and then purchases C. Whether B or C owns the debt doesn't change anything meaningful for A, and it's pretty clear that you're allowed to form company B (and really hard to imagine how you'd make that illegal without effects that would be worse than current).
I would prefer that! I'd prefer even more strongly that the debt be owed by someone else entirely, so a default isn't associated with me at all. If you're up for it I'd also prefer to use your credit card number to buy stuff on Amazon. But for whatever reason the law doesn't always seem to follow my preference.
I'm sensitive to your point about restricting formation of new corps. The system can't just be changed randomly without extremely careful thought. And often not even then.
Most small-time single family landlords actually go above and beyond that and "pretend" the rental is a house they're buying to live in (or actually is, for a time) and get a "home owner's mortgage" which is even easier.
Large commercial real estate is sold and loaned based on future rental income, pretty formulaically.