Shooting down V1s with the big Hawker turned out to be the least preferred option! While the Hawker was faster than the V1, it wasn't that much faster, and many times intercepts couldn't be made.
But when they were, pilots learned that the V1, while it did not maneuver, was a small fast target, and to get hits, you had to be fairly close.
And close turned out to be a bad thing when you shot at a flying bomb! V1s turned out to be able to damage, and even take out their attackers at close ranges, from the massive explosion of the warhead!
So, easing up on one, and edgeing a wingtip under the V1 wing, then flipping it out of control became preferred, and safer for the pilots. But it had to be done over the sea, or open country, not over cities, towns, or villages, for obvious reasons. If caught late, they were shot down, ...carefully.
personally, I'd give the nod for best fighterbomber to the P-47. 8 .50cal Brownings, bombs/rockets, and still a quite capable air superiority fighter, and many, many Messerschmitts and Focke Wulfs found out. A very rugged airframe, and a massive air cooled engine meant Thunderbolts could take a lot of damage and still get home. That was a bit plus, too, and one place where the P-47 was superior to the Hawkers, which used liquid cooled engines.
All else being equal (and it almost never is) bigger bullets tend to work better.