As far as I remember, Zelda SS save is not protected, so, in Dolphin, you can use the "Export Wii Save" option to get the save file in the standard Wii format, which you can transfer to a SD Card and restore it without trouble on a real Wii and on vWii. What I'm not sure is how those Wii re-releases that Nintendo sells at eShop works. Can you manage their save files through vWii? Or only through Wii U Settings?
Avell A70 MOB: Core i7-11800H, GeForce RTX 3060, 16 GB DDR4-3200, Windows 11 (Insider Preview)
ASRock Z97M OC Formula: Pentium G3258, GeForce GT 440, 16 GB DDR3-1600, Windows 10 (22H2)
ASRock Z97M OC Formula: Pentium G3258, GeForce GT 440, 16 GB DDR3-1600, Windows 10 (22H2)