Yes, many people do. Not me, though: I hadn't heard of it until this question (and my subsequent looking it up to find out more). I only have the original DW CCG.
People who collect these do it for the collecting aspect, and not for the gameplay. The comments on
link reveal that it's not much of a game. Since it's sounds like a variant of "War", I wonder if any of
link would work with the Battle in Time cards. Let me know, if you try it.