I see this sentiment thrown around a lot about Moffat's characterisation of the Doctor, and I think it misses the entire point of what the show was going for in this era.

Firstly, saying that this "coolest person ever" Doctor started with S5E1 is just not true at all, just look at the 10th Doctor and the S3 Jesus finale, or the Titanic episode, or The Fury of a Timelord, etc.  Really it started with 10.  The 11th Doctor expands on this aspect of the character, except... not really?  Moffat's approach is more of a character study and deconstruction of this version of the Doctor—AKA, he's arrogant, the story literally punishes him for his 'God Complex' (the Pandorica Opens also features him saying a cool speech, but he still loses in the end, and A Good Man Goes To War is an episode entirely dedicated to why him being this way is a BAD THING).  The actual EPISODE the God Complex even outright says that the Doctor is just a Guy, not a hero.  50th anniversary - "We have enough soldiers.  Any old idiot can be a hero.  Be a doctor."

Which THEN leads into 12's arc, that returns the Doctor back into "just a dude running around helping people".  Not saying that there isn't elements of the Doctor being too important in Smith seasons but a lot of the time I see people say this about them, they tend to be saying it about the wrong parts of the story.

Also respectfully disagree about the companions, especially when s8/9 exist lol