True, and the Luftwaffe did have some few successes using their 37mm Bordkanones on bomber streams, but the problem is accuracy - unless they were Hans-Joachim Marseille or Erich Hartmann, pilots generally needed those long bursts to either walk the rounds on target or have the target fly through the stream. Can't do that with single-shot weapons.
Yeah, there's a reason why when you read through fighter pilot accounts, they tend to value situational awareness, marksmanship, and aggressiveness far above any flying talent. See the enemy first, hit them first, and press the attack home. Dogfighting is a largely mutually defensive situation/stalemate.
The Hurricane does give a more nimble and stable gunnery platform that some of the larger craft. In the hands of some of the infamously aggressive units (Free Poles, etc.), they might have hastened the end of German daylight raids.
On bo both the day and night interceptor role though, had the fighter versions of the Mosquito been available a year or two sooner, they may have been able to take a truly terrifying toll, especially as night intruders, attacking bombers still forming up for their night attacks over their airfields.