I wouldn't worry about RC papers, they're kinda like plastic. On FB papers, I put the keepers back in the box that they came out of w/ nothing between them. It takes a lot longer to fill the box up compared to emptying it. Freezing winter temps or hot summers are not going to be your friend w/ paper storage.
I have some inkjet prints from 20 years ago, before I went to wet printing only. They will rub against each other during transport and lose some of the ink, but if they're not moving around, just in storage, you should be OK. My BO inkjet prints that were made w/ black ink only look awful now due to the ink getting rubbed off during moves.