It's possible for others to respect him without believing the same things you do.
No it is not. Not in this case. While Anshu is trying to spread Hatsumi sensei's art in the world, there are people saying that he is not a student of the Bujinkan. That would make him a liar. They never say it to his face, but that is what they say.
Go ahead, ask him yourself if you dare. Anshu is quite open about how he respects Hatsumi sensei. And Hatsumi sensei still speaks highly of Anshu and continues to provide guidence and training for him. And people that say otherwise WITHOUT EXCEPTION have never bothered to ask Anshu themselves.