condole with, coarse
喭 centers on expressing sympathy for loss or hardship, and by extension can describe rough, unrefined behavior that may accompany raw grief.
喭 combines 口 (mouth) with 彦, which likely contributes the sound. The exact historical development is uncertain, but the character is associated with vocal expressions of condolence or coarse speech.
The mouth 口 beside 彦 suggests speaking words of condolence. When grief is raw, those words can come out rough and coarse.
For ゲン, imagine a gentle condolence call where you say 'again' (ゲン) and again how sorry you are: again -> ゲン, and your mouth offers sympathy.