Old phrase, "There's gold in them there hills". It was an old quote from idk where, but it got re-quoted plenty of times. Probably most famously in Loony-Toons,
True, but I think the context of her being a big influence on his decision to call off the marriage was a big mistake. Making it a musical number was salt in the wound. If they downplayed the former and did the latter in a different episode I don't think it would be so bad.
She's a great character but I only liked Chapel until she did Spock wrong in the musical episode. He pretty much (spoiler) left his fiancee for her (end spoiler) then she basically spaces him a few episodes later.