Here are a couple of photos. Maybe you were shown a shot taken from the the open area BELOW the fantail during a turn. Notice the flat out photo doesn't indicate a large rooster tail.
I have never understood the great secrecy over a carrier's max speed. Isn't obvious to any adversary with satellite reconnaissance (most), or simply time and distance measurement? Or is the max speed something that can be sustained for only a short burst?
I think that's the Nimitz there in the second pic.
Heckuva shot though.