Hm. I thikn I just found some pics of P-47 flaps. Theydon't show enough of the wing to see, but from what I see, there are no such panels. Just saying, I can't see them yet. If you have some photos I'd gladly like to take a look

At any rate, WW's posted test seems to provide evidence of the F4U's flaps being more efficient anyway.

However, it's not really due to opinion if you think it's too small or whatever. If it works it works. If it doesn', it doesn't.
What makes the F4U flaps effective is the speed of the air over the flap. The air is exiting a space much smaller than the space through which it entered. Whether the slot is big or not is likely out of question. The P-47M's flap as shown above, has an exit space similar to the entrance space.
EDIT: added pics, fixed some points.