I wouldn't stress about these emails, or the advanced notification at all. The emails are usually a way of organizing information about the passengers, but in my opinion, are rarely used for actual travel, or immigration. You ALWAYS have to provide original documents at the time of check-in. It is at this time that the authenticity is checked and boarding is permitted. I fly British Airways often, and am inundated with API emails, even though they have all my information...At the time of check-in (and in case of LHR, at the time of boarding too), passports are checked foremost, even before the actual boarding pass.
Enjoy Geneva - hear it's beautiful!