No. You're attributing extraneous qualities to the character that are neither contingent nor necessary to the plot just because it is Nimoy. For all intents and purposes, the character is just "old Spock from another timeline." As such, Star Trek could have been written exactly as is even if TOS never existed.
To suggest that ST09 exists "in a vacuum", completely independent of earlier Trek is probably one of the most disingenuous statements I've read. Setting aside the fact that "old Spock from another timeline" is definitely written as old Spock from the TOS timeline (Ambassador Spock helping the Romulans, exactly where TNG left him), the entire movie is littered with references to TOS (Kobayashi Maru, etc...).