I'm probably a bigger fan of KOC but you do raise some interesting points. That said, I did say that KOC was limited to a type of QB - the pocket passer like Cousins, Darnold, or Mullens. Guys who would stand in the pocket and take a hit, keep their eyes downfield. Thing is, I think JJ is in that mold as well. The first drive in the Ravens game being a good example. But you're right that he does have some run tendency. Still, I think JJ's biggest problem with KOC is that he's not as good in play action. He seems more comfortable in shotgun. But we still have really small sample size issues here but tendency is he's getting worse, not better.
When he gets to start again, I hope the offense looks more like the Bears game than the Packers game. Let him throw out of shotgun a bit more in longer drop backs. But, regardless, JJ has to be better. The last two games have been pretty hard to defend.