i think most of them fishies do....
my red devil is like a statue at about 6am in the morning, it normally flares at me whenever it sees me but at this time... even if i put my face in the tank.. its just there motionless... when i make a sound it swims away fast as if startled then once it realizes that its me it starts flaring again..
with regards to the sharks.. they do sleep i think.. i saw some documentaries in nat'l geographic where divers visit some shark dens... underwater caves... and the sharks there are motionless and out of it.... just lying around.. like resting or sumthing...
maybe they dont have to move to breathe sufficient oxygen since animals usually have smaller O2 requirements while sleeping bec. some body functions are shut down.. but im no zoologist so its just a maybe