Sure that could work, but it looks like 5x the complexity and political will required.
Also, I'm not fully sold on UBI, because I haven't heard a convincing argument on why it wouldn't lead to persistent inflation. As the economy moves towards a you-will-own-nothing stance (to be fair, I'm contributing to this in trying to launch and operate SaaS services)
Even if UBI was the answer, the political fight is bigger, I think. Let's just be honest and straightforward about what we (well, some of us -- it is a democratic republic after all) want, we want people to stop speculating on houses and use them for living.
Assuming we can agree on the premise, tax the behavior we want to disincentivize as directly as possible, be clear about why we're doing it. Clear hearts, full hearts, can't lose. Just kidding this is politics so absolutely can lose but you get the idea.