Oh, that's a good point. You know I hate to say it, but I think M.A.S.H. is almost butterflied away in this timeline. Given the themes and setting of MASH, that would be my opinion - it was very much a product of its time and although a great piece of media and entertainment in our world, I can't see how a show like MASH could exist in TL-191, at least in the way we know it to be --- its a show that takes place during the Korean War and was produced in the 70s around the tail-end of the Vietnam War. It would have to be a completely different show to take place in TL-191, with different tropes, characters, themes, the works. Heck, it might even be about a post-Second Great War conflict the US gets involved in, making it a more relevant show to the conflicts going on after 1944, not the Second Great War itself. Just about the only thing that would probably remain would be the title though. That's just my opinion of course.
A show like Hogan's Heroes, however, might be able to exist in TL-191. I say this because of the setting and you'd be able to portray the Second Great War in that show. I wouldn't go as far as to put the show in Andersonville though, I'd probably place the show in a fictional prison camp. And the writers would really have to work their butts off to make a script and show with enough humor to appeal a hardened American audience like in TL-191. It can work, but you'd really have to think how you make it funny, you know?