I think some of these criticisms are slightly duff, but my main issue with the Moffat era, which I've still enjoyed enormously, is the third of these points. It's that the show has become about the Doctor, right down to a season arc being dedicated to the question of 'Doctor Who', etcetera. Tennant's Doctor was brash and overconfident and fond of his "you have no idea who I am" speeches, but it's notable that he for all his grandiose speeches no enemies ever turned and ran from him based on the power of his name alone.
Not even, say, the Sontarans, who knew him specifically from his time in the Time War as well as all the past adventures in the classic series. Indeed, a lot of them were given chances/warnings and ignored them, forging on so he's forced to act against them. Except, of course, for in Silence of the Library/Forest of the Dead, which is really a prelude to Moffat's whole era.
This is actually the same criticism you can level at Sherlock too, in a way - the show is about how amazing Holmes is as a man more than it's about the mysteries he's solving, and that's actually a bit of a misstep, I think.
I feel like they chase this in search of developmental scenes for the Doctor, but you can find them without this - see sort of what we see Tennant's Doctor learn and change even in a relatively fluff story like The Doctor's Daughter, there's some big moments for him in there.
