Everything you is true but at the same time if Lin can't handle the pressure against the good teams on the road it disrupts the whole flow of the game.
You mentioned how BD and Lin had basically the same amount of TO with BD playing less time, that would indicate to most ppl BD had the worst game but if you go back and watch that game the team flowed so much better with Baron. Plus you have to look at the content of their TO most of Barons was off unnecessary passes where he was being too flashy while most of Lin's off of being pressured and bad ball control. The reason I bring this up is because Baron's TO can be fixed very easily with just a little more caution, while Lins mistakes hints at his extreme inexperience and lack of confidence shown against MIA and Boston.
But anyway I'm not even faulting Lin this is expected he basically almost a rookie out there, my only issue is that this team is trying to win now and maybe going with the more experienced PG in Davis to keep things cool and the pressure down when the Knicks play Bos, MIA, or Chi in the playoffs would do the team good. Plus I also think Lin would play a lot better leading the 2nd unit not worrying about if Melo or Amare should get the ball.