There's one fact about Peter's wall-climbing ability that doesn't add up anyway: if he's too heavy for spatules, and his costume will lock i any adhesive substance he secretes, then how does he do it? The MCU is doing a great job of not giving us details... it's just perfect. I think that's where the Amazing Spiderman failed --it tried to explain everything to the last science!
Spiderman has always been my favorite hero. If only he isn't always so tragic. :D