Marvel retconned some of their characters like Cloak and Dagger into mutants years ago to give them a little rub. They would never need to do that with Spidey though since he’s popular enough without having to be a mutant.
There was a series where it was revealed that Parker was a Spider-Totem and the spider bite had a mystical component to it. I don’t know if the current continuity follows that now or not.
It is very inconsistent so no single explanation makes sense. It could have been some kind of ‘eyes in the back of his head’ kind of thing even if the eyes weren’t physically apparent but in the comics it started as some kind of general precognition of danger that any kind of heightened physical senses don’t explain. However, he was bitten by a radioactive spider, the physics and chemistry of that circumstance are still unknown because for some reason the studies of the effects of radioactive spider are horribly underfunded. We only assume that the Spidey’s super powers are all spider based, but this one could be purely based on radioactivity. Since we know there’s some sort of connection between anger and the physical effects of radioactivity on the human body it’s possible that Spiderman is feeling the effects of anger by others. Because he was only bitten by a radioactive spider and not exposed to intense radioactivity as the Hulk was this only manifests as a feeling he has due to the limited effect of anger on his body. Perhaps if he was exposed to additional radioactivity the effect of the anger of others would turn him green, or perhaps his own anger would have that kind of effect. We have seen that his strength varies situationally so there may be some sort of general emotional effect on his powers and he’s feeling a corresponding physical change. OTOH, even though he wasn’t born a mutant (though I’m not clear on that whole storyline since the whole ‘every superhero is a mutant’ phase Marvel went through is about when I lost interest in comic books) clearly the spider bite did change is cellular structure in some way that may correspond to the psychic abilities displayed by other mutants, so it may actually be precognition, just not functioning at a high enough level to let him know exactly what is about to happen.
I recall the tactic the Punisher used in a What If? comic where he was tricked into killing Spider-Man: He set up a Doctor Octopus dummy full of explosives, and when Spidey closed in he didn’t realize that his spidey-sense was telling him anything beyond the obvious “going up against Doc Ock is dangerous”.
Congratulations, TriPolar, you’ve just earned a place in my personal head-canon. And he certainly does have some radioactivity-based abilities: His theme song tells us that he has radioactive blood, and there have been hints that he’s immune to the harmful effects of radiation.
So Venom would be undetectable to spidersense because alien symbiotes operate with a different suite of emotions and while they’d feel something analogous to anger it wouldn’t set of the same register?
In the arc that originally introduced the villain Morlun, Spider-Man defeats him by irradiating himself. His spider-enhanced blood absorbs the radiation without harming Peter, but when Morlun tries to drain the “spider magic” out of him, he gets a side order of radiation poisoning for his trouble.
There was also a largely unfortunate “What if?” story that tried to be a Dark Knight Returns for Spider-Man, where an older Peter Parker abandoned super-heroing after Mary Jane died of cervical cancer she got from Pete’s irradiated jism. Somehow, this particular version of Spider-Man didn’t make it into the Spider-Verse story. Thank God.
The newspaper version of the power is just different, not useless. It’s not much good in a fight, because when you’re in a fight, it’s always tingling… but outside of a fight, it can be much more useful than the reflexes version. Meet someone new for the first time and your Spidey-Sense tingles when you shake his hand? Now you know that he’s probably some supervillain’s secret identity. Reflexes won’t tell you that.
Well, let’s see. Dennis the Menace famously has a love/hate relationship with Mr. Wilson. Spider-Man has, on occasion, found himself in a similar kind of love/hate relationship with Deadpool, whose real name is Wade Wilson. You know, I think you might be onto something there!
I forgot about the theme song and radioactive blood. I was wondering how much radioactivity Peter was exposed to during the experiment when he was bitten. I don’t recall any references in comics to radioactive blood but the animated series was a Marvel production so that’s good enough for me. It’s possible he’s in danger of losing his radiation based abilities when exposed to radiation as has happened to the Hulk and Thing among others, but that hasn’t been a permanent effect on either of them.