I couldn't disagree more - the problem with those last two movies, especially the most recent one, is that they were terrible. That has nothing to do with interest waning in Peter Parker as Spider-man... I don't even know how you would arrive at that conclusion.
Well since you asked. Let's start off with some critics reviews of the last Spidey movie. There's a reoccurring theme here:
I saw the movie, I read many of the reviews. The -script just sucked, it has nothing to do with Peter Parker. Nothing.
People are tired of seeing the same two Spider-man movies, how is that the character dragging it down? I agree with a lot of the points you're making about Miles, but this one is out of left field for me.
No one is going to see an awesome Spider-man movie trailer, and then when the mask comes off go "Awww man! That Peter Parker guy again?! I'm out."
It isn't going to happen. Ever.
I didn't see any of the rebooted films in theaters, and barely paid attention on cable. I'm just bored to death of Peter, Aunt May, Uncle Ben, and MJ.
Miles or even Spider-Gwen would get me back in the theatres.