How would they even present that Conn Smythe on the ice, through videoconference? Can't exactly fly a guy whose team lost in the previous round to a possible 3-4 clincher games in the Finals for a vote he might not even win.
I vaguely remember a short-lived campaign to get Peter Forsberg the Smythe one year when he didn't make the Finals but I don't even think something extreme like Crosby setting a record for playoff goals in 20 games, and getting hurt toward the end of the ECF would move the needle there.