Everyone loves to lump extra mission capabilities in their description because that's how you get money; doesn't mean they'll ever actually do it. If they really need Plopters to haul the dudes in Batman gear, that's what AFSOC V-22s are for. JSOC has its own air arm - TF160 and AFSOC. The Navy's niche in SF insertion/extraction/support is boat-side (SBS, SWCC, etc).
Just for a point of clarity, 84/85 weren't wedded specifically to NSW, the support they gave to NSW simply happened to be more due to colocation with the Teams (San Diego and Norfolk). There was a significant amount of support requested from and provided to other services, especially while deployed. It's important because it highlights that the CNO decided he didn't want to fund a Navy unit to support all of SOCOM, it wasn't that he didn't want to fund a NSW specific helo unit.
By the way, JSOC doesn't count, they are their own little black world and get whatever they want, to include 1st Batt and the even more secret squirrel aviation units.
As for the support from the white SOF side of the 160th and AFSOC...on paper they can cover all the stuff that 84/85 covered, and that's how they pitched it to SOCOM actual and that's partly why SOCOM pulled their financial support for 84/85.
However, when reality rears it's ugly head, NSW/SF/MARSOC are already losing events that the 160th can't support, both CONUS and OCONUS. Case in point, for the foreseable future, all in-CONUS leave has been cancelled for all of the 160th in order to support the customer's training events, and that's straight from guys I know in Campbell.
It's all semantics at this point as 84/85 are on the way down. However, it's not as rosy with the 160th and AFSOC as some previous posts have suggested.
Unfortunately, in the end, the guy on the ground is going to lose capability they previously had, regardless of who is flying the remaining helos.