These patterns have been used for decoration or costumes used in the inner palace since ancient times, and has nothing to do with the Takeda family in Koshu (based on the answer of the information officer of Imperial Household Agency).
これは古くから宮中の調度、装束に用いられているもので、甲州武田家とは無関係である（宮内庁広報係の回答より）。