Stunts Unlimited is the pocket patch and is a real company including Hal Needham and others back in the 70's. Here is the link:
http://www.stuntsunlimited.com/Could be a jacket given to the stuntmen during the day, it is intriguing but I agree, something just doesn't seem right. I think it is the pocket and patch throwing me off. Why the pocket? Was it available back then with or without the pocket? Burt's jacket was a non pocket. I have seen personally in the Burt Reynolds and Friends Museum the red jacket. The arm sleeve lettering is gold, has black elastic wrist cuffs and looks like the mentioned jacket on ebay (but without the pocket) But in some of Burt's pictures the jacket worn has white font. Hitmans jacket has white font but red elastic at the cuffs.
How many versions did they make, who was the manufacturer on the inside label and is it possible the ebay jacket is a knock off?