Rent controls!
That's how property ownership works, after all. Extending the same benefits to renters has a lot of obvious appeal even if it does nothing to fix overall price increase trends.
There's tons of ways to make housing affordable without resorting to policies that have been rejected almost unanimously by economists.
If someone is in a rent-controlled situation, they were simply lucky to get there first, and there is no mechanism in place for anybody else to rotate into that position.