This has been pointed out in a couple of places on the net, that the kari-zyuuminhyou (kari-juuminhyou) is not necessarily reporting your pension and health insurance contributions. (Or, the fact that you haven’t been contributing.)
The key development is that there is a space, somewhere locally, to record if you have, or haven’t, been paying.
I keep urging people to sign up for these, even if you don’t pay them. At some point in the future, it is going to be an issue if all the foreigners’ Residence Records are blank when it comes to pension and health insurance contributions. You want to be on the side of the divide, where at least you did your part . . .