While I’m not doubting you would personally do as you say, I would point out that as someone living somewhere with quite lax tenants rights and a nationally recognised housing emergency (Australia), landlords not renting to people because tenants rights are too onerous doesn’t seem to have a particularly large impact on housing availability.

Whereas some tenants rights seems to have a pretty large positive impact - ie all the positive effects of secure housing.

Of course ymmv in your local housing market.

You would gladly take in someone with a history of non-payment, on the sole condition that you can evict them for non-payment?

In that case, one benefit of public housing is that it slims the pool of “sob story”-havers that you can evict for sport!