"If one OR MORE of the following events have taken place in the session, the unit morele inreases one step"
So no, only one step according to RAW.
Increases in morale are a pretty big gain for the team. Personally I run very tight ship on this one. I like to look at the "big picture" of the session. If the unit didn't really do anything that special except travel one hex and sit on their asses it doesn't feel right to increaes the morale. But even then according to RAW it should rise, but max one step/session.