I called Alamo again, and this time got the guy on the reservation line to say that yes, the insurance and all is included. I explained to him that I live in the UK, but my passport and driver's license are for the U.S., and he said that's fine -- but I hope he understood me, as he had a think Indian accent and was speaking fast (so maybe I didn't understand him entirely, either). But I think it's ok. He suggested I call the Atlanta terminal, which I have done in the past and no one answered even though I called a few times during business hours.