My understanding of the story was that YC was going to pass on Airbnb but then one of the cofounders mentioned the cereal box story and that changed PG's mind
In the old days we use to just call them cell phones. These days I just call it "my iPhone" or when I am referencing other people's phone, I just say "phone". If I am developing and talking about it in development context, then and only then do I reference mobile of any kind.