I personally would rather this stay a sound effect, but it would be cool if there were a separate "interface sounds" / "UI sounds" / "jingles" audio slider for the gameplay-related contextual sounds.
As for the awful combat jingles, I believe they already fixed that and it's just waiting for release.
Regarding combat skill level up jingles, got some good news coming your way in Tuesday's game update.
Check the patch notes for some other long-requested tasty treats from the last game jam.