"I know I'm in the minority here, and I won't be seeing Fun Home until my trip to NYC in about a week, but I've seen two videos of Sydney Lucas performing "Ring of Keys" now, and although there's no denying that she's precociously talented (and that it's a great song), both times I felt she rather over-acted it. I'm of the "less is more" school of acting. I'm yet to see her live, but based on her performance of her character's big song...no, I wouldn't have given her a Tony. Very talented kid though."
The neat thing about her though is she doesn't come off as precocious at all. I've seen her interviewed and she is very mature. This is why I don't see anything contrived or fake about her performance. And overacting is definitely not what I was thinking when I saw the show, or when I saw her Tony performance. I think she has a real connection to this character which is quite remarkable for someone of her years.
Interestingly I was watching the Tonys with a friend and when RAM's name was called, my friend said she thought Lucas was more impressive than RAM. And thought she should have gotten the Tony.
So differing opinions prevail again, I guess.