The book sells under Slott, and the deal with Spider-Man's movie rights was not entirely the same as the deal with the rights for the X-Men/FF. Marvel just don't have the film rights, but they have the rights to everything else. So I don't think they'd be inclined to just let a writer do whatever just for the sake of publishing a 'Spider-Man' comic.

Also, that really depends on what you think their definition of a 'classic' Spider-Man story is. By all accounts, they seem to consider the removal of the marriage a return to 'classic' Spider-Man, and they've already made efforts to remove the less popular aspects brought in for BND and retained what worked.