A7 is definitely a better pick but I use a A6000 as my webcam and haven’t had any issues with overheating.
My main annoyance with the A6000 is can’t charge and film at the same time so I had to buy a dummy battery pack power adapter which works but looks janky.
I have two A6000, they've never overheated. I've even forgotten them turned on for a solid few days and no issues. YMMV
The other guy said literally the opposite. Maybe you two fight it out, and report the outcome?
Easy solution; use Fujifilm. We both agree they don't overheat. Incidentally, I think they are also much better cameras for most use cases.
But he said anything Fuji won't work.
Which comment are you referring to? I can't find it. Whoever it is is wrong though; fuji stuff works better than anything else I've tried, except for dedicated cine cameras.
Anecdotally, my A6300 rarely overheats, but it has indeed happened.