Having watched the film, I'm actually glad the supposed "untold story" regarding how Peter's father may have played some role in his getting powers ended up being getting edited (although given the prologue at the beginning it still implies there is SOME connection). After all, this film is already juggling three subplots--Peter's origin as Spider-Man, the romance between him and Gwen Stacy, and Dr. Connors becoming the Lizard--along with an unresolved fourth--Peter tracking down his Uncle's killer--that adding a FIFTH one would just crowd the movie and needlessly interrupt the other plots. And honestly, the only reasons why the filmmakers would even still include it is to resolve what happens to Dr. Rafta--who is an entirely superfluous character anyway--and explain how Peter was able to survive and gain powers from the spider bite, which just needlessly complicates his origin. Of course, the parents angle is obviously going to be saved for the sequel, probably to be used for an "Empire Strikes Back" style revelation by Norman Osborn in which he can reveal Peter is really Richard Parker's clone or some such nonsense. After all, you could say that the whole "you look just like your father" allusions can be made to be literally true in Peter's case.
Also, anyone else get the feeling that the news article of Peter's parents dying in a plane crash was added into the film? Because if Peter knows that his mom and dad died, why would he even angrily ask Uncle Ben "How come my father isn't here to tell me [about responsibility] himself?"