Edit Required?
WEBF,
a slightly knee-jerk post perhaps? I don't think you meant to say :
"It [WW2] teaches that victory would have been impossible in the Atlantic, Pacific or the Med with carriers."
I think you mean "without" - although it also teaches that victory in the Med and Atlantic at least (don't know enough about the Pacifiic) would not have been possible without land-based air power too - arguably this had a bigger impact than carrier air, particularly in the Atlantic. The Med also makes quite a convincing case for the "step-afloat/ashore" (floating airfield if you like) approach to the use of carriers - witness the RAF contribution to the relief of Malta.
The capabilities are complementary.