How could the Me 262 even be in the running?
There were VERY few built in comparison, and they were built late in the war. They had almost no effect on overall bombing, and were shot down in droves.
Yes, it hit hard when it shot and actually hit something and was the prototype jet fighter, but it just didn't do it very often over the course of the war.
The question was which plane shot down the most bombers, not which had the potential to do so.
I'd say the Hurricane shot down more bombers than anything else on the Allied side since the Spitfires were concentrating on enemy fighters.
On the German side, the Bf 109 shot down more aircraft than any other aircraft in recorded history. My bet is that it shot down more bombers than any other combined three or four other aircraft in the world.