I think the Kwicker would work with those solid board adapter pucks. I am not sure why though. I find it interesting K2 did not go to their own athlete, Kyle Miller who spends close to 200 days a year on his split and get advice.
I can tell they were thinking about the design, but it seems they didn't quite punch it all the way through to me. Then again, I could be wrong. Time will tell.
I know next to nothing about the Kwicker, but I'm under the impression that the boots are based on the original system?
I was thinking he could buy the new boots and find some old Clicker bindings online.
OP - Call K2 customer service and ask.