jagman1062 said: "I always thought that a show had to have an official opening night to be considered to have actually played on Broadway"
I think it sort of depends on who you ask, and what exactly they're measuring. Some don't count previews as "real performances," but of course, they quite literally are - in the sense that it is a literal performance in a Broadway theatre. Especially these days, when previews are barely any different from performances after opening, and the tickets cost the same.
Speaking as someone who sees most Broadway shows in previews, it's hard for me to imagine saying that a show didn't play Broadway if it only played previews. I can see why they might not be eligible for awards, and why they wouldn't be reviewed, but I think it's fair to say that they played Broadway.
For example, I saw The Minutes in previews, and if someone wanted to know, they might ask me "Where did you see The Minutes? At Steppenwolf, or on Broadway?" And it would be fair and accurate for me to say "I saw it on Broadway" - because that's where it was playing: on Broadway. And the fact that they haven't had (and may never have) an official opening night doesn't change that.