When I was instructing at RAF Shawbury in the early 90's, we had a visit from a very pretty young lady who had been a passenger in a 2-seat Harrier a couple of years before - they had had an emergency and ejected but she drifted back down into the burning wreckage.
Her lifejacket wasn't fire proof and she wasn't wearing a cotton layer underneath her flying suit - she was gracious enough to show some of the scarring and it convinced me to always wear a cotton layer under my flying suit and also to wear gloves when flying.
Absolutely.
When I was at South Cerney on ITS one of our instructors, Melaniphy (?) always had long sleeves even on hot days.
When asked why, he showed us the arm burns he had suffered , trapped on a burning Hunter.
Always, but always, he said, keep your flying overall arms fully down and DO wear you flying gloves.
Never forgot that, even on a boiling day starting or after landing my Canberra which could get VERY hot in bright sunshine.