For the Germans and the Japanese (another major proponent of 30mm guns in WW II) there were a number of conflicting requirements like cost of building the actual guns vs performance. Cost also included materials like high grade steel. The MK 108 was rather cheap to build which allowed to be deployed in large numbers.
Photo from Anthony William's web site.
MK 103...................................MK 108..............IJN type 2..............JIA Ho-155...................JIN type 5
The two German shells and the three Japanese shells. Japanese traded shell weight for velocity in the two smaller rounds.
Gun......................weight........rate of fire......shell weight...........Velocity......................ME
MK 103................141kg.......360-420............440g.....................800m/s..................141,000J.
MK 108................60kg.........600-650............330g.....................505m/s....................42,100J
Type 2..................51kg.................400..............273g......................710m/s....................68,800J
Ho-155................50kg.................400..............235g.......................700m/s...................57,600J
Type 5..................66kg.................500..............350g.......................750m/s...................98,400J
Post war
Aden
MK 3M LV..........87kg.............1200................273g....................604m/s................49,800J
revolver
Please note that the Aden gun had a barrel about 50% longer than the MK 108 barrel and the Japanese type barrel was almost twice as long.
If you lengthen the barrel on the MK 108 you may have to reduce the rate of fire as the shell has to clear the muzzle to drop the pressure before the breech block moves very far.
Blow-back guns cannot be synchronized or rather API guns cannot be synchronized (or any gun that is not firing from a closed bolt).
Post war guns may have had better propellent (depending on year) and had better steel/alloys and better machining.