I have found that most people think that shows "tour" in New York City just like they do in cities across the country. So I hear people say things like "Oh great, Wicked is back in New York right when I happen to be there! So glad i'm catching it before it leaves" When I say that actual Broadway productions don't tour and just stay until people stop buying tickets, then they start asking why is there a tour AND the Broadway show and aren't they all equal and exactly the same and why does New York think it's so much better than other cities lol............
The other comment I hear about is unions. If I ever mention that a certain tour is going to be a "union tour" or "Equity tour", people equate that with Teamsters and the negative stereotypes about some union workers being overpaid and underworked. So people say things like "it's easy to get into a union and once you're in, the union will protect you no matter how bad do your job and actors are no different."
The other common thing is since so many people see Wicked, Phantom, etc, no matter what theater i'm in, people will say "isn't this where we saw Phantom?" Now in touring cities, that may very well be the case since a lot of cities only have one or maybe two theaters for touring shows, but in New York? it's weird to hear.
In Chicago, so many people were disappointed that the original cast wasn't going to be performing in Hamilton and they saw no need to see the show without the original cast.
My cousin loves Avenue Q, and I took her to the Broadway production at the Golden Theater back in 2004. We talked about it recently, and she said that she thought that it wasn't a Broadway show because it was on a little side street, not on the street named Broadway.
My local community theater had a production of Annie last year, and I worked front of house for it. During tech week, I was hanging out with the cast and we were looking at the playbill. I noticed the girl playing Annie had, in her credits "High School Musical, off-Broadway". So I said to her wow I don't remember there ever being an off Broadway production of High School Musical, where was it? And her mom answered and said that it was at her middle school. To her, if it isn't ON Broadway, then it must be OFF ?Broadway. Instead of embarrassing the little girl and her mom, I just let it go, and then of course talked all kinds of ish about them later with my friends in the cast lol.
I direct at my high school and people ask me every so often if my show is technically considered "Off Broadway."