I would argue that this is unpopular not only amongst retirees but everyone. And it would have tons of negative side effects.
Why would I fix up my house to look nice, if I’ll be displaced? Why would I invest in my child’s local school system, if we could be displaced? Why would I do any community outreach or support, or get involved in local politics? How can banks underwrite loans if the affordability can fluctuate wildly? Look at the life of people who live in mobile homes and trailer parks - they essentially rent the land, and it’s oppressive because they can’t afford to move (actually moving or repurposing land is hard) but their cost to stay is unpredictable.
The only people this is appealing for are people who fancy themselves analytically minded economists with no interest in the practical humanity of the people living there and renters hoping to finally do the displacing for their own affordability.