for anyone wondering what we’re talking about:
in an information architecture you have a bunch of topics that content relates to. To begin with you just have content. In an open card sort users will take a bunch of content and give it a label. Then they will organise these labels into groups. This is what I understand by an open card sort. Its a good way of figuring out how users think about things.
A closed card sort is when you have a better idea of what topics you have and you have labelled them all. In this case the user takes all these cards and fits them into groups. Depending how rigid your protocol, you may also have an idea of these groups and have given these a name too (as in this example). This comes late in the project when you are validating your IA.
A hybrid approach is where you have labelled your topics but not the groups they fit into: an closed-open approach. I think this is the method I was advocating here. OP is using the fairly rigid closed-closed method which I don’t think works at this time.
Hope that clears a few things up.