Seems like if it was adopted as a policy, there would have to be many gray areas where people pretend that they aren't really using AI - the ship's computer is just a domain specific finetuned version, after all, etc.
Additionally, the transhumanist ambitions represented by the Bene Gesserit or Navigator seem on par with all AI dangers to me. Why would the dangers of an incomprehensible machine mind be worse than the dangers of a transhuman being that was bred and optimized for generations? Who solved the alignment problem for these superhumans?