And if you, you know MOVE with your gun, keeps you from burning your legs.
I personally distrust the heating (who insulated machinery that gets hot) and have seen too many overheat and melt to the can, dislodge under fire, etc. I have a perforated metal shield instead. Helps. Have definitely gone "ouch" a few times but not had burns worth treating and they get to 500° F so that's no joke from safety.
I am not sure I 100% buy the mirage thing either. Sure, they get hot and mirage off the hot suppressor is a thing I have seen, but the barrel contributes also. I went euro mode and have a mirage band on my precision gun for this. Lower magnification DMRs/carbines don't notice the mirage so it's fine.
But yeah, standard thing. Lots of people have suppressor covers and most are fabric, tied or velcro-strapped on, with (theoretically!) grippy anti-fire stuff on the inside.