Yeah that was the first thing my Dad said when I showed him the picture. Also Wombat, he (20+ years of roofing experience) said there was no way to tell if the water damage was gradual or sudden, so the adjuster was absolutely blowing smoke up your ass.
The critical part I missed about the leak problem was the fact that you said that every single unit is experiencing leaks. Speak with the other owners who have had leaks about meeting with a lawyer, because it sounds to me like you have grounds for a class action lawsuit against the builder of the condos. I would take a permaban bet that every single one of those patios is built improperly and leaking water into the condo below.