Can I assume that my Availability Zone us-east-1a is the same location as someone else's Availability Zone us-east-1a?
No. Currently, we do not support cross-account proximity. Each account's Availability Zones are independent. For example, the us-east-1a Availability Zone for one account might be in a different location than for another account.
http://docs.amazonwebservices.com/AWSEC2/latest/UserGuide/FA...
http://alestic.com/2009/07/ec2-availability-zones
My us-east-1a is the affected zone, which is 3a98bf7d-126d-411a-a612-3a57a62dc688 using the incantation on the site.
(Oh, and to note: my us-east-1a was also the affected zone during the massive outage last year, and I believe I remember another outage sometime between then and now. I almost feel like every Amazon outage affects my zone. I kind of wonder if that availability zone just sucks ;P.)
But, yes, generally: Amazon randomly allocates AZ labels to given customers to avoid preferential clustering on any given first choice.