It’s difficult to truthfully assess the balance between distribution and shot-stopping without trying too hard to prove yourself right. Also, people tend to only remember the mistakes that lead to goals, rather than the dozens of occasions when a keeper might drop the ball, but be rescued by a team mate.
Personally, I formed the impression last season that Hart was having less of an impact than previous campaigns. He was still making match-turning saves (away games at Monchengladbach and Watford), but equally more mistakes seemed to be creeping into his game (Norwich H Liverpool A)
Hart’s distribution was too slow, both in thinking and execution. It even led to his self inflicted injury against United.
As for shot-stopping, Swansea had one chance at the ETIHAD last season, resulting in Hart being beaten at the near post. Rashford never looked like missing, and what about that free kick at home to Liverpool when he kicked the ball straight to a clearly startled Coutinho?
Similarly, one of the goals at the swamp originated from Bravo being boxed-in, but passing the ball to Kolarov rather than hoofing the ball downfield. However when the goal is replayed the movie starts with Kolarov on the ball.
Would Hart have passed to Kolarov or played safe? Impossible to know for certain, but if the opposition keep slicing through our defence with such alarming regularity then even Manuel Neuer would be struggling.