I’m very sure it’ll be enough, but however I can’t say how much enough it is.
Setting up a new image with a backup is a matter of 10 minutes of work and 30 minutes of waiting (or so). I’d just do it.
(Until recently I used a RasPi 2 and I had it doing much more than 6 thermostats. Worked mostly fine but incredibly slow. I’m sure the 3 is nearer to the 4 performance wise.)
I have a 3B+ which does a lot more than that. I’d expect you won’t be taxing the hardware at all. But of course the best way to know for sure is to give it a try.