I am not quite sure I am following you, maybe you think there's more about it between my ears when it's actually noting that the term used - 'shot down' - is inaccurate. At least to my best knowledge and memory.
I wasn't tying to be particularly clever and you can see more of my own philosophy with my reply to Joe. Perhaps 'Lost in Aerial Combat' is better phrase than 'Shot Down'. In the context of Bubi he didn't bail out because he just happened to hear his engine failing from fuel starvation - it seemed by his own words the he was desparate, having failed to escape the flight of Mustangs that were really mad at him and he was running out of fuel and options.
Now to your serious question, I can give you to most typical answer one would expect from my kind : 'depends'.
It's a tough question, and I'd look for the cause-and-effect chain.
I didn't dig into Hartmann's combat career too much to be honest, if there was a case when he was chased by Mustangs and run out of fuel.. and he bailed because the Mustangs were out there, sure it's a loss to enemy action, having no other choice, yet without the pilot himself being mastered in air to air combat, it's a bit like alcohol-free beers. I don't think a definiete, good-for-all-situations answer can be given, it's a gray zone that should be judged case-by-case.
Your perspective doesn't bother me at all - but if a pilot's a/c is lost in air combat from a.) bailing out of a badly hit airplane, b.) to escape near sure death by pursuing fighters, or c.) make a mistake like a mid air collision with a fellow fighter in a chase, or d.) collision with debris of either friendly or enemy a/c - then all of those are 'lost in air to air combat' for my own research on USAAF fighters - even if his a/c wasn't strictly b.) above?
In this regard I particularly like some of the terms the LW used during the war, they handle such situations better...
Luftsieg, durch/ohne Feindeinw., abschuss, HSS etc... The term aerial victory for example make all those arguements about Hartmann's 'kills' so much redundand... it simply means he was victorious over the foe 352 times... which in cases may simply mean he got behind it and shot it up so the other guy had to leave combat, and thus fail his mission..