The thing is, Spider-man was only called Spider-man because it sounded cool.
Stan Lee's original concept, his high concept, was to make a hero that could stick to walls. THAT'S IT. The first thing Stan ever came up with was "sticking to walls". Before the name, before the origin, before EVERYTHING.
He then went through what he thought "sounded right". Ant-man? Nah (although that did work as comic buffs will know), Spider-man? Bingo.
He said he chose Spider-man because it sounded fine, it rolled off the tongue.
This is why Spider-man couldn't spin his own webs, because Stan kinda created him backwards, and could have easily been called Ant-man - because Stan didn't care if he could spin webs or not, he wanted him to stick to walls.
I'm glad he went with Spider-man though. His idea could have easily bombed if he just used "Sticky-man"
I'm just trying to explain why Spider-man didn't naturally get webs, because he wasn't really a Spider-man. Stan Lee didn't think of the radioactive spider until he knew what to call him.
He thought "Right I need a name for something that can stick to walls, I know Spider-man sounds cool"
Then it was "Ok Spider-man, I guess I can have him bitten by a radioactive spider so he gets its powers"
He obviously didn't think it all through, and when he realised "Oh crap! Spider's spin webs too, I need to do that too now!" he used the whole 'chemistry set' craze at the time and made the webshooters.
See what I mean with Spiderman being designed backwards? That's probably why he's such a wierd character. I mean, most people who would make "a Spiderman" today would probably make him transform into something like Doppelganger or something, like when Johnny Storm turns into the Torch, Peter would sprout extra arms at will. I'm glad Spiderman was designed the way he was.
Oh well, the webshooter things never really bothered me, I just knew that they'd be missed for sure. It was only the Green Goblin costume that annoyed me, but I've seriosly vented enough about that and its time to look forward to hopefully a better set of sequels