Nope, nope, nope. I would never use cardboard over my plants. Not sphagnum either, though there is a little bit there just to hold a bit of moisture while the plants acclimate to their cork mounts. Actually, they were both growing in a tiny little hanging basket with perhaps 2-3 pieces of fir bark in the basket. Ursula, I don't think (though don't know for certain unless you want to post a close-up of the plant/roots) yours was attached quite the same as Jim's.
I will give y'all a hint. It comes from some other plant I grow a lot of. But what plant and what part?