I don't recall anyone else inheriting the picks. I think of Bounty Gate, I feel like Miami had something (maybe it was related to the owner & Tom Brad - but I don't recall off top of my head), and than I presume the Patriots lost some form of draft pick related to the video stuff way back when (I don't recall if deflate gate cost anything).
I still would be shocked if they lost a FRP - I would suspect a 2nd rounder would be highest they go with the Falcons - unless league wants to really SEND a message. While Vikings were clearly penalized by the tampering - to rewards Vikings is odd as reality is other teams were also penalized (say any other team that wanted Cousin's was penalized as were teams looking to trade QB's)...so I think that is where it becomes a slipper slope and I presume the penalty will be a forfeit vs. a receipt of a pick.
Note: Unless league wanted to give like an extra compensation pick or something along those lines. I also can't imagine the penalty comes down fast enough that the team loses a pick literally a day before the draft.