It is possible to speculate that the second son Okimoto was able to take over Fujitaka as the head of the Hosokawa family and the governor of half of Izumi Province because Okimoto's older brother, Tadaoki HOSOKAWA, was adopted by Terutsune HOSOKAWA and took over the Oshu-Hosokawa family.
兄の細川忠興が細川輝経の養子になり奥州細川家を継いだため、次男の興元が藤孝の和泉半国守護細川家の継承者となったとする見方もできる。