So far, the USN is happy with having the V-22 in COD role

Three MV-22Bs from VMX-1 and one from HMX-1 were busy out at sea aboard USS Carl Vinson as the sailing branch conducted a two-week “proof of concept” experiment to show how the V-22 affects flight operations aboard a nuclear-powered carrier in its COD role.

131117-N-XN177-012 PHILIPPINE SEA (Nov. 17, 2013) A U.S. Marine Corps MV-22 Osprey lands on the flight deck of the U.S. Navy's forward-deployed aircraft carrier USS George Washington (CVN 73) to conduct 131117-N-XN177-012
By Burghart, Peter, MC3 [Public domain], via Wikimedia Commons

So far there are no major showstoppers and the only concern is the longer time taken to unload and load stuff on the Osprey after it lands.

The tilt-rotor is assigned spot 6 or 9 on the flight deck and it cannot move to the parking area to unload as that will require the engines to be shut down. Thus the deck crew will have to move cargo from the two spots. This has a potential impact to launch cycles of other aircraft as they have to wait for the Osprey to clear off before other flight operations can continue. However, that is only an issue on spot 6.