Well, in that case you get beyond questions of referential continuity into questioning the ontological co-identity of characters from show to show, or even scene to scene, which 'TOS purists' have been doing since the late 80s.
BSG, the Batman licensed franchise, and now Bond, is cover of a song; Orci and Kurtzman, so far, have indicated that the new Trek movie is intended as another act of the same opera, though they've changed the set decor. Practically, yes, it is a window that is not showing you Shatner and Young Nimoy, but as a text it is still implied to be a window to what is the 'same universe.'