I think part of the problem here comes from thinking of one thing to the exclusion of others. That never works well in Dramatica.
We all exist within the internal and external worlds. A be-er is not devoid or unaware of the external world. A do-er is not devoid or unaware of the internal world.
Within the SPECIFIC CONTEXT of the story's inequity as seen from the MC's perspective, however, there exists a PREFERENCE to try to resolve inequities FIRST by applying effort internally (be-er) or externally (do-er). If that approach does not resolve the inequity, the MC may (reluctantly or insecurely) attempt to resolve the inequity using the alternative approach. This MC APPROACH is independent of the overall story functions assigned to the player that is also the MC.
I prefer assertive and passive over active and passive when describing approaches. Think of it as the amount of energy applied. An assertive BE-ER uses a high level of energy. A passive BE-ER uses a low level of energy. An assertive DO-ER uses a high level of energy and a passive DO-ER uses a low level of energy. This "energy level" appears to impact the MC's effort, though not necessarily the effectiveness (which is context specific).