You can keep up with the times or you can make angry posts on the internet about people being “woke” or “pc” or whatever insult you decide to hurl because things are different now.
The words become less fake over time and everyone, even the most conservative of conservatives, recognizes that.
There plenty, many, words you won't use because they've changed. That's how progress goes, it's always the way it's been. You can fight that, but it won't work. And then in 40 years you will sound like an insane person.
I'm not saying that "unhoused" is good or will be a largely used word. But I am saying that fake words are real and you will keep up or be left behind. We have people alive, right now, who have been left behind. Guess what, they sound insane.