I'm not sure I follow. As others have pointed out that unit tasked with SAR around Oki is the AF. This is because Oki has a large AF presence. There are NO USN helos based or deployed to Oki so I'm not sure why you're maligning USN capabilities.
If a USN helo had been there it could have conducted the resecue just as well as the AF had. I'm not overly familiar with the capabilities of the 60G but it doesn't have some magic overwater capability that the USN lacks. I'm not even sure if a 60G has rad alt and a hover coupler (paging
@busdriver).
Big picture wise USN hasn't invested in long range SAR because it's not a doctrinal responsibility USN holds. USCG handles long range SAR in CONUS. The only place where the USN has primary SAR capabilities is Guam. There are station SAR units in areas that are near large expanses of wilderness such as Whitney or that have weird requirements such as Pax. In Norfolk at least USN helos were backup to the USCG for SAR and the wing maintained an alert posture with USN SAR Alert crews designated at all times. There have been a few cases were the USN was called out because USCG ran out of resources.