Yeah, I don't think we need worry about Anastasia. As for War Paint, I'm glad for the cast and crew as they continue to be employed. I really wish I could have fit this in to my show week (and I've been tempted to come in a day early so I can). While I haven't seen it and so can't speak to it's merit, my impression is that it's the type of show that - back in the day - would have been your typical modest one-season wonder - not a hit, not a flop but runs it's course over a season and moves out for the next show to move in. There were plenty of shows in the 50s and 60s that played a season or so and it was considered respectable. It's lamentable that the show isn't doing well because how often do we get truly original musicals written for an adult audience, with what I feel is a pretty solid score, and get to see two Broadway legends perform their hearts out in it?
Incidentally, This Week on Broadway's podcast from this Sunday features a great interview with War Paint composer Scott Frankel. They also review The Prince of Broadway much more favorably than I anticipated they would.