I thought the bottom end was a bit thin and lacking on the smaller 102p compared to the 102hf. Apparently a certain amount of size is (sadly) necessary to develop bass response. I also prefer ported cabs for the same reason - they just sound "bassier".
You definitely should compare with your ears the cabs you are interested in.
The Jeff Berlin conbo sounds great, but... I would suggest going with components rather than a combo. Eventually you will get bored with your cab or GAS for a different one, and you can swap around a bit while keeping the amp (or vice versa). Just get a travel bag for the LMIII so it doesn't get banged around.
Bass inventory (all 4 string/passive):
Fender Jazz Geddy Lee
Fender Jazz fretless
Washburn Force-8 Chicago BBR
Gem short scale
Aria 1930 fretless violin hollow body, scroll head