She has a history of interpreting her instructions however she likes anyway, I believe. You're probably spot on.

I think treating with them is an excellent idea, though. If ghosts have a hierarchy here, it would be prudent to be respectful of it. Remember, though, you're not MARIA or Maria Ushiromiya as far as Infiltrators are concerned. Even if you keep your name, you need to be someone who isn't a Traveler when they're around.