Might as well just say "I want to control what other people do with their private property"

Short term renters, questionable people (thieves, renters who abuse the properties around them, people who use the property poorly [massive parties that bring guns + drunk loud people]), illegal activities (like off permit filming of commercial works), brings disproportionate problems to the neighbors. Airbnb is a lightning rod of people who do that. That's one of the reasons why hotels have weird rules in states and cities.

That’s not really a controversial idea and nearly everyone who owns a home where you can see your neighbor’s house wants to do that to some degree.

If you live in close proximity to other people, you should not be allowed to do whatever you want on your private property.

Pretty much every municipality already has laws that limit you in that manner.

If you live in an area covered by an HOA then you signed up for it, literally, like your signature is on the paperwork. I have zero sympathy.

That is exactly what the people who live under HOAs want. I despise HOAs, but I'm happy that the kind of people who like HOAs have a community they can all congregate in. It keeps some of them from mingling with the rest of us.

You already can't do what ever you want with your own property.