I voted management.

Command stars are earned easily in RTW V1.5 when you fight often and at bad odds.

Influence seems to occur for successful generals. Not sure if its winning battles, eliminating factions, retinue, traits. But my best generals seem to have good influence.

Management can go up well for those governors in cities with acadamy buildings. I give those buildings a low priorority..and have built only one in my campaign so far. The governor there though has already got three management type in his retinue.

So I suppose the campaign game style you follow will influence your choice. If you expand rapidly and fight a lot then star and influence are earned? If you 'turtle' and stay holed up in your cities with acadamies then management will be easy?