Noticed this the other day out of the blue, confirmed on a lightly modded setup with the most recent version of SongCore on 1.40.3.
_latest.log
Select a map with multiple characteristics that uses difficulty labels (for example: https://beatsaver.com/maps/3dc0c), swap the active characteristic, and difficulty labels swap to defaults. Selecting a different map then going back to the same map brings the custom labels back.