More like Mirror's Edge plus Bionic Commando 09 swinging mechanics in a denser, layered city hub. And an open world hub like Halo ODST, Wolfenstein or Rage. Batman AA had an open hub connecting open buildings. Spider-Man should have an open world connected to linear levels with no reason to revisit them later on.
I liked that in the movie trailer (during the first person stuff) you see Spider-Man moving in and around obstacles, compared to the games where you just jump or swing past everything. Spider-Man 2 required skill to swing well, but it didn't work in smaller areas. Every spider-man game since then removed complexity and added ways to make traversal simpler, like the double jump. I'd just like for them to return to swinging that feels like swinging. Bionic Commando 09 is the most recent 3D game that did a good job.