Jarethan said: "They never did it during the original production...I always thought that David Merrick viewed it as worth the price of admission...so why give it to them for free!"
That seems like a flimsy reason to not perform it in 2017. Especially since Bette herself is a "limited run" and the show is so well sold. It's not like performing the title number would make people say, "oh, well now I've seen it and don't need to buy a ticket." I think I said it elsewhere in this thread, but we see shows doing their 11 0'clock bring-down-the-house number on the Tonys all the time.
[Hello Dolly choreo spoilers coming up, fair warning:]
That said, if they don't do the title song, I hope they figure out a way to stage "Put On Your Sunday Clothes" in all of its glory. "Parade" just doesn't do it for me... I don't really know the show, but since it's such a famous number and I knew the whole ensemble would be involved, I was expecting a big dance break when I saw the show. (I guess I was picturing something like "I'm a Brass Band" from Sweet Charity.) I was not expecting them to just stand there, march in a circle, and then stand there again. The vocals were great, but as a showstopper it was a bit of a letdown. I'd be bummed if it was their Tony performance.