If you have a card from a raid, you should only be allowed to roll greed

[ReplicaX]

This sounds good.

INB4 someone joins in with "My need for MGP is equal to your need to use this item!!" like in earlier discussions about dungeon gear.

Or setting them to personal loot like other cards dropped. Which resolves the argument entirely and the system itself is the same across the board.

Edit: There shouldn't be a guaranteed # of cards dropped from a Raid anyway. Defeats the whole point of "Card Rarity" and collecting.