As any ACID database must, we choose Consistency over Availability in the CAP theorem sense. This means that when a datacenter is disconnected or poorly connected to the internet, the database is not available for writes in that datacenter. If you are serving a web site to the internet, and need it to stay available if one Amazon AZ fails, this isn't too bad.
Some applications really do need disconnected operation, and thus 'AP' semantics. (For example, a grocery list for a mobile phone, or an application that must be available everywhere if the entire Internet partitions.)