This is not mutually exclusive though. When the incumbents are poor to start with, it does help them from not being gentrified out of their homes.

Between scenario A: rent control, some poor people are helped, others are not and scenario B: all poor people are forced out of the neighborhood, A starts to look acceptable.

Until that is, someone comes up with a workable scenario C that helps even more people than A. (UBI looks great in theory, but I think the "workable" part needs some more work.)