I've not heard of an HOA completely banning rentals in a single family community, although they can require registration and background checks of renters.  

No city or county in Idaho has been successful at banning someone from having a short term rental.

There are two states that outright ban it already.

And they do a (albeit minimal) screening of each guest, collecting info etc.The benefit is that you're not at risk of your entire business being wiped out in an instant by an algorithm.Facebook superhost groups are littered with people posting about their AirBNB account being suddenly banned, for no explicable reason, with no recourse. 

So they would essentially be saying that they wpuld be blocking the local municipalities from making banning the zoning switches right?

They don't have a STR ordinance in place yet, and are considering banning them.

I'm planning to do that, however I am just wondering whether the HELOC on property A (debt-free primary home in my case) will negatively impact my ability to get cash-out refi on B (an investment)?

An HOA may allow them today and then ban them completely next week.

., for example, are outright banning short-term rentals or enacting strict rules such as requiring that owners live on the property for a period of at least 6 months each year.

Then the practice was banned.