TOM - An F-20, yes, there were a few red ones built after the paint color change in 1936. A "Regular", nope, not ANY, by 6 to 12 yrs!
A lot of Regulars did get repainted red back in the old days to make them seem like the newer F-20's after 1936, same way M's, SM's, 400's, H's, SH's, 300's all got the grill & side panels painted white to match the 350/450's.
The guy who painted it probably saw the red paint with the dark grey under it and thought the grey was primer and painted it red. Too bad he didn't do a little research.
The Henry Ford museum is an interesting place to visit. Wife & I were there about 30 yrs ago and we were going thru the "Transportation exhibit", cars, trucks, trains, and airplanes. One of which was the "Spirit of St. Louis". I'd just read something in the local Moline, IL paper about THE original Spirit Ryan monoplane hanging from the rafters in the Smithsonian, so I nudged the wife and said, "Hey, Look, there's the plane Jimmy Stewart Flew in the movie, "Spirit of St. Louis". The lady ahead of us was busy reading the little placard in front of the plane and when she was done she looked over at me like, "How the HECK did You know that??!?!??" The article I read said something about the plane in the Henry Ford museum was a replica.
Takes at least two days to do justice to the museum & Greenfield Village, three would be better.