I know the title sounds a little click-bait, but I was kind of shocked when I saw what the burning smell was last time we went out.
1978 Ambassador 28'
Here in Oklahoma we had a stretch of 100°+ weather and the site we were at had zero shade for the Airstream. I ran the AC (original Armstrong unit) nearly the entire two night stay. On the last morning before leaving we started to notice an electrical burning smell - it was the front vent fan.
I had opened it to try and let some of the hot air escape the front area but after smelling something burning we ended up shutting things down and a couple hours later packed up (we were leaving that morning anyway). The fan was never running, I never heard anything and didn't even think of the fan. It was up there melting away, locked up.
After a more thorough inspection the next week I found the front vent fan in this condition:
Careful out there, I really think we got lucky. This easily could have been worse!