The kantei-sho says "den", meaning the sword has attributes consistent with the smith named and his group. They are not saying he specifically made it. It could have been made by a student or other affiliated with this smith.
One needs to keep in mind the purpose of a shinsa, which is to judge the quality and authenticity of a blade so that the product, a kantei-sho, can be issued. Elucidating the process by which this is achieved is not part of the product. I can't argue that it would be highly informative and is, in fact, the central focus of kantei meetings, which the NTHK-NPO holds on a monthly basis. There is simply not time for the team to record the whys and hows for every blade that comes through, in any case. The kantei-sho is an excellent starting point for the owner to begin their own study and research should they desire.