Minnelli's "Rose's Turn" is thrilling. I think she could have been a brilliant Rose, because, when you think about it, they're very similar. I think Liza could relate to being born at the wrong time. By the time she was coming around in the 60's, her style was already outdated, so I'm sure she could relate to Rose's off sense of timing. I believe Arthur Laurents thought she was too "raz ma tazz" for the role, but I'm sure they could have dressed her down and directed her to be more ordinary.
As for Imelda, her live performance was charming, hilarious, as well as being gritty and terrifying. In fact, I'd say she was the best Rose since Tyne. Then the BBC broadcast showed up and I saw her only playing three notes - shrill, psychotic, and hateful. That wasn't what she'd been doing on that stage. She really was rather funny in act 1, but you'd never know it if you saw the BBC version. I've been trying to figure out what happened. It really is like a totally different performance. It's more than just a performance being too big for the screen.
Honestly, even if she'd been the right age, I can't picture Barbra as Rose. I'm sure she would sing the hell out of the score, but there's something about her that doesn't scream Rose. Sure, I would have loved to have been surprised, but she doesn't seem common enough. She has a lot of mannerisms and tics that just don't seem to work for Rose. There's a regality that just wouldn't seem to fit.