It'll be fun while it lasts, which I don't think will be very long. Sooner or later somebody's going to run headlong into the problem that having Spidey on a team naturally poses: why don't they help him out when he's getting his ass kicked by Morlun, Doctor Octopus, the Lizard, a clone or whoever happens to be stalking his wife this week??
They can choose to handle it the way Stan did back in the first annual ("No thanks, I can handle this myself!") but when you've got Spider-Man running for his life every other month it starts to get increasingly implausible and limits what you can do with his rogues gallery without the Avengers showing up.
I agree that Peter's being handled a lot better in ASM than in NA when it comes to his place on the team, but it
is his flagship title. I would expect him to be. Yeah, he's little more than a wisecracking jackass in NA who isn't even being given a shot at his own foes (Electro, Carnage, Hydro-Man) but I can't complain too much; Wolverine's getting the same raw deal he is (and having Logan there opens another can of worms, since now you've got all the X-Men waiting in the wings too).
OTOH, this isn't a bad team for Peter. I have an easier time seeing him on a team with Captain America, Wolverine, Daredevil (maybe...) and Spider-Woman than the Vision, Wanda, the Black Widow, Quasar or the Wasp.