Ideal belt temp should not exceed 140 degrees F.
Belt manufacturers often quote the 5-second rule. If you can firmly grasp the belts and hold on for 5 seconds or more after run-in, the belt temp is fine.
Now most belt manufacturers will indicate that the belts can withstand temps greater than this, but that for every 18 degree rise, belt life expectancy will diminish by half, all other things being equal.
Most, if not all TM's take advantage of the fact ttat belts can still work, beyond the max ideal of 140. They simply realize that usual expectancy is 3 years at 140 deg F, and that it will lessen at higher temps. There is also variation a bit among brands.
3vx belts are cogged, so they dissipate heat better than non-cogged designs, and because there is a myriad of variables, belt temp should be observed after run-in.
Belts will generate their own heat, which needs to be dissipated. The mere diameter of the pulleys can have a tremendous effect on the flexion induced heat. Slippage and nature of the belt tensioner can also be a contributor.