I don't see this happening at all, for one very important reason: Pine will be an active part of Paramount's promotion tours and junkets supporting the release of the film. Shatner won't be.
In effect, it's easy for Shatner to get some publicity about the film now, because there's no competition for the press' attentions. That will change 180 degrees by next April and the cameras will be following Pine and his castmates.
MISSION:TREK's in-depth review of STAR TREK
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