Well other than the red skull (who's much more a planner than a fighter) a lot of Cap's rogue gallery isn't very impressive. Pete's rogues would slaughter Caps in a matchup, they're just much more powerful and numerous (Not counting all of Germany in WW2).
Iron-Man is really on a whole other power level.
Wolverine's bigger opponents are always confronted in a team, his stand alone fights aren't really against high level opponents (except Hulk who he matches very well). Guys like Sabertooth, Cyber, Silver Samurai and lady deathstrike would get murdered by venom, sandman, electro and many others.
Really if you look at it considering how many books Pete's been in he's the most experienced single person fighter out there. He's used to fighting greater numbers and far more powerful opponents who also sometimes show up in greater numbers as well. (I'm not saying he's never gotten additional help) Pete might be young but he's fought pretty much everyone in the MU and teamed up with at least half. I'm not saying he's the best, but a little more respect would be appropriate until Marvel completely ruins him for me.
Honestly, you're completely discounting all 3 characters team battles.
Captain America and Iron Man through the Avengers, have fought Loki, The Enchantress, The Executioner, Kang The Conqueror, Korvac...
Wolverine through his work with the X-Men, has had to deal with Magneto, Apocalypse, Juggernaut, and others.
All of those villains would eat any Spider-Man villain for breakfast.
Spider-Man deals with localized threats; threats on New York, threats on people he knows.
Comparing that to the villains that Cap, Iron Man, and Wolverine have dealt with, that's nothing.
Calling Spidey the most experienced fighter is also kind of foolish; you can't compare dealing with generic thugs, even superpowered ones. Even Carnage, Peter's most powerful foe, would be an easy battle for most Avengers villains. Kang has technology in his right pinky (literally) that would blow Carnage to smithereens; and Cap and Iron Man have fought him dozens of times, and lived through it.
You're also forgetting that Wolverine is literally, 100 years older than Peter; Wolverine already had extensive Samurai training, was a veteran of several wars, served as a S.H.I.E.L.D. agent, an assassin etc, before Peter was even born.
Now, I can see the argument that Peter has more battle experience than Stark, but given Stark's afluence, his position in society, his powerful suit of armor, and the fact that he is probably Peter's senior by 10-15 years, it's to be expected Peter would be treated like a kid.
I think Peter's abilities are definitely respected, but I would go around saying he had more experience than Wolverine or Captain America.
Damn, this post has made me miss the original New Avengers team: Spidey, Cap, Wolverine, and Iron Man on the same team? Talk about an all-star cast.