Nope, not a dumb question at all because this exact thing came up last year.
We all signed up with a space on the application for “Badge Name.” many people put screen names there, expecting our real names would not be used. Fortunately someone thought ahead and brought little sticky notes and pens because lo and behold, below our screen names were our real names, and we used the stickies to cover that up. We were all a bit surprised as the organizers wouldn’t even give us the names of other people on our panels - screen names or anything - because of privacy concerns. Which is fine, we mostly found each other anyway, but still.
My understanding was that there was some sort of legal thing, where they had to attach our real names to our badges, for liability or something. Whatever, I wasn’t happy with it because in my particular situation, my fannish activities need to stay far away from my real name. I google myself fairly regularly to be sure the casual person looking me up won’t find links. But I understood the position they were in, too, so I got over it.
Anyway, if you don’t want your real name showing up I’d advise you bring some masking materials with you to cover it. Don’t permanently black it out, as that may violate some of the Con rules, but just a temporary cover that could be removed if you need to, for whatever reason.
It’s awkward, doing some of this IRL when you’re also still trying to stay incognito, but try to navigate the best you can and realize everyone is doing the same.
Yes, this is important.
I won’t do FB stuff under my fannish name for that reason.