@Turk?
I think that you've been fooled regarding what "Sorted Affair" really is.
@MagicYoda's 5 line comment, although short on words, says a lot about the trick.
No, you do not get 6 sets of oil/water packets.
However, they (oil/water) are one of the easiest card packets to make. Why not make your own?
Just thinking out loud.