Yes, I am even a little higher rated and have played numerous (low rated GMs) in tournament play. I do think they analyze more than 1-3 times per game.

The main thing commentators here are missing is that GMs have more confidence and do not repeat their analysis, but amateurs (strong club players included) typically re-analyze the same lines over and over. That alone would account for far stronger play with fewer moves considered, if you count the same move multiple times, which you should!

Also, Jonathan Rowson (Scottish GM - peak about 2600) describes his training matches with Mickey Adams (peak #3 or so in world - 2760), and says pretty much the same thing. Most of the time he asked “what about this line I rejected”, the answer was usually “I hadn’t considered that”.