This is not a training environment. This is a general discussion environment. Language use expectation should be set for the environment you are in.
Moreover, funny thing - I've been through training for convention security, specifically to be on-call overnight to handle sexual harassment and assault incidents. That training specifically differentiated between the two terms.
So, given that training does not give everyone the same language, it is probably not wise to lean into training language as authoritative in this discussion.
Okay, then I'll lean on this-
Your connotations are the not the same as everyone else's connotations.
Your labeling of how victims and survivors
must feel (shamed, not embarrassed) is, in my opinion, wildly inappropriate. If you went through training, then you know that demanding victims and survivors feel a certain way is not appropriate. "Oh, you feel embarrassed? No, you don't. Let me explain to you why you need to feel deep and abiding shame- because only that captures your trauma, fear, and despair."
Moreover, funny thing ... you didn't address why you think it's appropriate to
shame and publicly embarrass people who use perfectly acceptable terms that are part of training by accusing them of
victim-blaming.
It is probably not wise to lean into this pedantic distinction when you are accusing them of victim-blaming for using accepted language.
Finally, given that you acknowledge that everyone does not use the same language, maybe it would have been best for you to just say, "Hey, my bad."