While it is simple enough to divide them according to the RoTK Rise of Heroes alignments, it would encompass more than the 17 types. However, I would consider less about types depending on the scenario.
Cao Cao is all about having many talented officers under him so his Generals would be very diverse. Wu is entirely about the motherland which makes them way more single minded. Shu is primarily a ragtag bunch of misfits so they obviously clash in terms of what they can bring to the table.