As far as I understand, it's a double escapement because there are two points of contact forcing the escapement, not because there are two instances of escapement. Robert Grijalva is correct, I think. The repetition mechanism calls for a second point of contact, hence the name.
I may be wrong, but I don't trust LLM AIs. They work by putting together sentences that sound plausible, but there's no guarantee they are correct. Even if the AI is correct this time, that fact ruins it for me.