There is one advantage that has worked in Parker's favor: He's a scientist who could work with The Avengers, X-Men, and Fantastic Four. He doesn't have to appear as Spider-Man. Parker(in comparison to Spidey) doesn't get used at all outside the spider-man books. This gives him an advantage over Wolverine and Deadpool who Marvel loves to pair him with. Neither Logan or Wade share his love for science, unlike:
Mockingbird
Tigra
The Beast
Captain Marvel
She-Hulk
Jessica Drew
Captain Britain-Betsy Braddock
Black Widow
Jason Arron could have used Peter Parker as part of his Avengers team as this would allow him to explore Parker's science background to the fullest extent. We could see Peter providing support for The Avengers in a non Spider-Man role as he would apply his knowledge toward inventing devices for his teammates that is non-Spider related.