Daniel Jeremiah (who's been a scout) encapsulated this the best when he said that in the end the NFL scouts are going to care a hell of a lot less about this whole thing than the entranced American public.
What's going to happen is teams will make sure they interview Te'o, and question the hell out of all of Te'o's teammates, friends and coaches, trying to figure out what he's like in the locker room and whether the perception of his being an intelligent leader is actually accurate or not.
In other words, DOING THE JOB THEY SHOULD'VE BEEN DOING ANYWAY.
It's the evidence they kick up from those interviews and answers that will condemn or maintain Manti Te'o's draft status. If he is actually mentally unstable or whatever else is being attributed to him by the ignorant public, that's something that should have and probably would have been kicked up by the pre-Draft process anyway, whether this story broke or not.
Considering the **** teams knew about Percy Harvin before he went 1st round, the idea of Manti Te'o sinking to the 2nd round based on some weird fake girlfriend shenanigans is laughable.