Never said it was about the invitation thing
I said it was TIED to it, as in relation to the thing, not the ACTUAL THING
besides that woman isn't even a vampire, she's MC's literal mom
Black eyes, fangs, looks almost exactly like every other vampire we've seen, but no, she's not a vampire. Sure.
Even if she isn't a vampire, saying someone's name to let them through a barrier is an incredibly stupid weakness. And as others have pointed out, if they knew that saying someone's name would let them in, then the people who are aware of it should know better than to casually say the name of someone they don't want getting in.
Also, you may not have said it, but you were 100% implying that it was the actual thing, so nice failed attempt at back tracking.