Insomuch as CODs have an 'advocacy group' at all, it's ACCLOGWING. Moving CODsprey-equipped VRCs to the RW side would require pulling the HSC wing commodores into the discussion and voluntarily giving them two squadrons, a bunch of people, and brand-new, high-viz airplanes. Oh, and the HSC commodores would have to agree to handle the transition AND absorb a whole bunch of pilots they don't know AND take on a third T/M/S in their house (and they've been trying to get rid of the -53s for years now).
Could it be done? Sure. Does it make sense? Probably; in terms of mission, and training/currency requirements, they'd have a lot more in common with the helo bubbas than the Hawkeye guys. What does the E-2 commodore know about deck/dirt hit currency or sling lift training? But it would be a pain in the ass and politically undesirable, and no mob of Navy O-6s ever built is ever going to sign up for that if they don't have to. And you have to go all the way up to CNAF to find a common boss of CACCLW, HSCWL and HSCWP.
My impression from my Marine Plopter buddies is that they view the -22 as a helo that can go fast, not a cargo plane that can hover, mainly because it took over the medium-lift mission from the Phrog and most of the guys came from there. A CODsprey would be almost exclusively VRC guys and they'd bring that mindset through the transition.
If that's the way VRC goes, I think there'd be merit in growing the community in order to expand the mission. One of the big advantages of a CODsprey over a regular fixed-wing is it could lift from the beach directly to the big- and medium-deck gators as well as the Boat, right? Once ESG admirals fall in love with that capability they're going to want it as a regular thing and soon you get VRC Dets going on 'phib cruises. So if you can, expand the aircraft buy and bring in some helo bubbas for their expertise in that side of things. But then again, see my previous comment about 'not a bad idea, but pain in the ass and political hassle and anyway that's not how we do things'.