Question about Sony Alpha 7RV

I had a similar problem: if I forgot to switch off the camera, the automatic switch-off failed despite activation in the menu, and the camera got really hot. The last firmware update solved the problem, no problem (any more) even when taking photos.

can confirm anonymus' statement. it doesn't get warm when taking photos!

Shooting photos? No it definitely should not. I have two and neither does. If video, then I can't say, but sounds likely and normal.