This is not the case. Often the "politically correct" version is not actually more correct, but is replacing some common phrase that is declared obnoxious by some very small unrepresentative minority of people who coincidentally make their living as activists.

Yes you can be houseless but not homeless, but you can also be homeless and not houseless. It's an utterly stupid distinction predicated on an intentionally incorrect, close, and literal minded reading of the term, done for political reasons.