First of all, people here are talking as if the Tonys are some major event. Sure, to us, maybe since we all love theatre. But, to the rest of the country? It isn’t. Jut look at the abysmal railings it gets year after year. Hell, I wouldn’t be shocked if not too far down the line, CBS decided to put all on Paramount Plus as a live stream. But, with all that, the writers guild would be stupid to even think of working with the the televised production team. It would weaken their stance. If the awards program were to air, without any writers and everyone talking without a script then that would be ok. It may not look good but that is the only way I can think of where the telecast can go on.
For example, during the last writers strike, Jon Stewart went back to do The Daily Show along with John Oliver. It was just the two of them. They are both guild writers and the show was basically Stewart talking to the camera for a half hour improving it. Oliver, being British and at that time here on a work visa, couldn’t join the picket lines. He stated at the time that while he was able to be a member of the WGA he just couldn’t protest. If you’re here on a work visa and do protest you could risk deportation.
Let’s face it, people know what the Tonys are. If a family is planning to come to NYC in the summer/fall and they see that a show advertises that it won a Tony (doesn’t matter for what) people will be more inclined to see it and that would have the same impact that it always does.