Certainly much better, because the song is MUCH better.
But Frank doesn't really seem into it on this whole session to me. For one thing, this was after Bobby Darin's version had been a huge hit, with Bobby declaratively stating that he was "going after Frank" when he recorded it. And it's almost impossible for anyone to beat Darin's version…heresy I know, but "even Frank." And Sinatra seems to intuitively understand that.
Even the other unused takes from Bobby's session aren't nearly as good as "the one." I remember have a long conversation with Tom Dowd about that Darin session; I had a few thoughts in mind about what was going on, and Tom confirmed my beliefs. (Tom recorded it, of course.)
Anyway, Frank is FRANK for sure, but this session wasn't my favourite of his…things were much better when Nelson was handling the band,and following Frank, rather that QJ trying too hard to lead him on.