It's a known issue that the beards are not saved properly with the Mediterranean portrait pack. It seems that it only happens to some specific beards, though. Usually it will reset if you save the game and load that save as well. It's not a priority to fix this at the moment, but we do have it reported internally already. So expect it to be fixed sometime in the future. Can't say for certain when.
Cheers for reporting it though!
Cheers for reporting it though!