Since descendants of Furuichi were appointed to Chadogashira (persons in charge of tea ceremonies) in the head family of Ogasawara (in Kokura Domain) during the Edo period, he was considered to be the founder of the old school of tea ceremonies of the Ogasawara family.
古市氏の後裔が江戸時代、小笠原総領家（小倉藩）の茶道頭をつとめたため、小笠原家茶道古流の祖としてあげられる。