Doesn't that sound insane from a mile away? By the time you are done making exceptions, you'll have infinity carve outs. This is not a solution so much as a way to squish the problem into a different, weirder shape.
1. Everyone is forced to sell their lakehouses, cabins, ADUs? Detached mother-in-laws? (wtf is "Exactly one house?")
No one is ever able to rent a single family home ever again? Right now 14.5 million households / 44 million residents rent single-family homes in the United States. They're... out of luck? On the street? Gotta save for a down payment? If those houses are force-sold, don't you think people-other-than-the-current-inhabitants will come in and buy them?
Actually, can anyone ever rent ever again? Or is it a buy-vs-homeless dichotomy here? Or do towns have to become miniature companies and play landlord? Or states?
2. Timber companies are forced to give up their land, bankrupting all of them and driving the cost of wood sky high. Mobile home land must now be sold, except no one can buy it. Farms except for sole proprietors are forced to give up their land (sorry partnerships, amish, people with discontiguous lots, and everyone who wants to eat this year, you're out of luck)
IMO you should focus on laws that let people build more (eg, ADUs, duplexing) rather than getting out the stick and hoping there won't be huge side effects.