This is true. Having adventures outside of New York City, in foreign countries, working with SHIELD, admiring Iron Man, using gadgets borrowed from Iron Man, fighting alongside the Avengers in outer space.
You can find examples of all of these in the Spider-Man comics, but they are peripheral, they're the exception and not the rule. In the MCU films Spider-Man has had more Avengers style stories than he has traditional Spider-Man style stories, even in his own movies. It's a massive disservice to the mythos that two classic Spider-Man villains, Vulture and Mysterio, were both motivated by getting revenge on Iron Man.