In the comics it was a natural reaction, although it didn't always enable Spidey to get out of danger. Maybe for the film they didn't show it happening if Spidey was gonna get hit anyway, a waste of screen-time and all that.
As a matter of interest, Venom doesn't set off Spidey's spider sense. Not related, but interesting though eh? 😄
His Spidersence is an automatic response it is a seventh sense like our sense of smell or taste but if he is in a rage (which does not happen often) or is dazed by a significant blow it can be thrown off kilter. I can see how during his battle with GG he would have been a bit on the dazed side after being flung through wall and had a pumpkin bomb detonated in his face