There could be some lack of clarity regarding the definition. The way the league views it could indeed be pejorative. I have no idea.
The way I view it is that there are three types of QBs in the league, 1) the ones that often win games themselves and don't require as much talent around them for their teams to be very good, 2) the game managers who rarely lose or win games by themselves, and who need lots of talent around them for their teams to be very good, and 3) the game losers, who are like the balls and chains of their teams, pulling them down to mediocrity or worse, even if there happens to be lots of talent around them.
Players like Tannehill and Alex Smith are in the middle group, the game managers. Cutler overall functions at that level too, because his top-level skills are counterbalanced by his gunslinging nature and the mistakes he makes. For every game he wins with his high-level skills, he'll lose another with his gunslinging and interceptions.
This is why Gase got Cutler to have his best year in a long time in 2015. He kept him about as aggressive but got him to cut down on the mistakes.
The exciting prospect is that with the greater surrounding talent in Miami, Gase can get Cutler to do even better. I wouldn't put money on it, but it's a neat thing to think about.