My form of skepticism is just waiting for proof. Happy to wait. Costs me nothing. Just get the proof from your hands to mine without it vanishing into smoke.
I think software engineering opens the mind a little to being willing to believe things that should be impossible. Some of my bugs are certainly ghost stories: "...and the programmer never figured out how something that weird could be happening!" Others have pushed me to the brink of questioning my own sanity, only to have it all snap back into place when the explanation is finally laid bare.
While I have no particular reason to "believe in ESP" it is impossible not to recognize the very real state it puts a person in to have seen some kind of evidence that nobody else will believe, and I don't necessarily see any reason to suppose that someone somewhere in this psychic card testing didn't see evidence of some real information transfer effect. But what effect?
We know beyond doubt that people can pick up on perceptual signals without really understanding what we're picking up on. I once had the strange experience of "seeing" a cat in pitch black because I was creeping up some stairs and the cat was a few feet directly in front of my head. I'll swear to you up and down that I never saw it with my eyes, though I couldn't say for sure. I'm convinced that I actually heard it, not even its breathing but the lack of any ambient room noise coming from directly in front of me caused an immediate cognitive dissonance in some part of my brain that knew nothing should be there to absorb sound. In the immediate moment this led to my knowing something irretrievably that at the time I really could not say how I knew. But also I was blessed with proof. I reached out, and there was a cat there.
I guess my point is that the most logical explanation to me is that in a card-guessing experiment you have two players who keep careful records but who both want the guessing game to be won by the guesser. You're allowed to keep playing with different guessers and to keep practicing the game until you get results, so it's logical to me that you should eventually find a guesser with whom you build a rapport, and who becomes able to pick up on impossibly small clues that the clue-giver does not know they are giving and the guesser does not know they are receiving. Nothing about my skepticism of supernatural claims prevents me thinking a guesser could develop an outside-logic means of perception that could explain those kinds of results.