Yeah, Huyang was definitely the droid equivalent of Ollivander.
I didn't get a Doctorish vibe from him at all. I think that's rather an unflattering thing to say about a character actor like Tennant, to claim that he failed to differentiate his characters from one another. Yes, Huyang was still recognizably a David Tennant character, but so was his Hamlet, yet his Hamlet was quite distinct from his Doctor.
Of course, it's kind of getting it backward to say that a given actor who played the Doctor is "Doctorish" in another role. After all, each actor makes the Doctor his own, brings his own style and personality to the role. So it's not that Tennant is Doctorish in other roles; it's that the Doctor was Tennantish while he played the role. Just as he's Smithish now, was Ecclestonish before that, and so on.