I hope I didn't sell them those holders

They should know better because of how loose they fit. If the card was an OJ it wouldn't move anywhere because it is thick. I always store my raw T card in their holders with the sleeve opening at the bottom.
When I ship I used a roll of packing tape to wrap a small piece of cardboard around them

Actually I put the card in a semi ridgid and tape the holder to one of the sides for stiffining then cardboard with enough tape to secure the board together. Same way I would want a card to show up. Secure!