It's even simple stuff like switching from the day page to the night page. The transition is scheduled, and it is longer than, "Well, we gave you the weekend."
In the VTs and the FRS, crew rest was nothing more than time you weren't on the flight schedule. But that's not crew rest in the USAF. In the USAF you don't mission plan or prep for a brief during your crew rest.
USMC fleet was different depending on the front office/OpsO. Some were good about it. Others... not so much.
The Navy would have to significantly change how the SWOs run the boat, as well as how aircrew staterooms are constructed, in order to meet AF crew rest standards. The noise alone would ensure that the AF would never have an aircrew available to fly an airplane off the boat. In the Navy "Sir, the E-2 ATO line is delayed for the next 12 hours because the aircrew's crew rest was violated by maintenance and a fire drill." would probably get the E-2 OpsO or Skipper fired. In the AF, it gets the base commander fired. (Which happened recently at a place that the E-3 deploys out of.)