If the first theory is accepted, Amatsumara can be held to be the same deity as Amenomahitotsu no kami (the one-eyed kami of heaven), who appears in "Nihonshoki" and "Kogo-shui" (History of the Inbe clan).
一番目の説を採った場合、日本書紀や古語拾遺に登場する天目一箇神（あめのまひとつ）と同一神であるとも考えられる。