The hypnotic induction is just a Ritual designed to convince the client that they can be "hypnotized" in a way that matches their preconceptions.

'With that definition you define hypnosis in a way where hypnosis has nothing to do with trance. It's certainly possible to give another person suggestions that do work without having the person in a somnambulistic state. That no useful definition if you want to talk about how certain trance states come with amnesia.

I had multiple times the experience of creating a trance state in someone that causes amnesia without giving suggestions for amnesia and without the person thinking they were supposed to have amnesia.

As for amnesia, stage techniques are awesome. It's really hard to doubt you've been hypnotized when you count your 11 fingers, can't get up from the chair or watch your arm grow to twice the size.

Yes, you can do those things. It's commonly called convincers. On the other hand feats like counting 11 fingers are not phenomena that will succeed for every subject the first time.