When I directed the show I also cut that song.
As for his feelings for Johanna, the Judge also says:
JUDGE: In order to shield her from the evils of this world, I have decided to marry Johanna next Monday.
BEADLE: Ah, sir, happy news indeed.
JUDGE: Strange, when I offered myself to her, she showed a certain reluctance. But that's natural enough in a young girl. Now that she has had time for reflection, I'm sure she will greet my proposal in a more sensible frame of mind.
So, there is more about his feelings for her than just "How sweet you look in that white muslin gown."
"Smart! And into all those exotic mystiques -- The Kama Sutra and Chinese techniques. I hear she knows more than seventy-five. Call me tomorrow if you're still alive!"