I've certainly expressed annoyance about how Raimi told the origin. The comic -like many superhero starts- were very simple. Peter is a gifted science student, he's experimenting on his own, a spider wanders through a gamma ray, gets angry, bites the nearest thing (Peter) and promptly dies. Billion to one chance of reproducing those conditions. The key to the 2001 film is that Peter had nothing to do with the spiders, he just happened to be there, and there were how many? 13? All genetically engineered, so perfectly feasible that all the others could wander off and bite a bunch of other people. I had heard they handled the origin better this time? Apparently Peter barely notices it even happened. But I haven't seen it yet.