You’re stating that this isn’t an authentic WW2 game, so the inclusion of the BP is fine. Then it follows that any inclusion (as long as it was designed during WW2 like you stated) is fine. Then little boy and fat man could be off-maps and every German unit can get IR StG44s. You should probably commit to that position instead of walking away from it every time I try to counter it.
If you agree that the BP is more of a stretch than the JT and ST and some things are too unhistorical for COH, then we can formulate at what point something is too fictional for COH. Even if COH is fictional, it is not fictional on the level of games like World of Tanks or BF5. It is pretty obvious that the factions Relic designs are supposed to have some resemblance of reality. Even if they take liberties with their designs.
When you’re saying that you don’t expect Relic to keep the ruse up, that’s pretty synonymous with anything goes. If the fundamental disagreement here is that you don’t think COH should strive for some authenticity and I think it should, then there isn’t any point in discussing this further.
You should unironically become a mathematician your use of propositional logic is astounding. I hope you do well if you are a student.