Shoot the rifle how you shoot it. If it gets hot, it gets hot. Knowing the exterior temp doesn’t tell you much about the interior temp, and knowing the interior temp really doesn’t tell you enough about potential barrel wear or corresponding barrel life to actually care about it. It’s a novelty. I went down that road with gear I used for work - I still have two IR guns, one is a General if I recall correctly and goes up to ~600F, the other goes up to ~1200F - I’ve even built thermocouple probes to insert into my chamber, and have put temp indicating tape on the outside of my barrels to show how hot they were getting.
Guess what… None of it changed how I shot, or changed how long my barrels last…