It is hard to say how they compare on functionality (e.g. versioning, auditing, integration (e.g. Kerberos, AD, etc)). The Amazon web-site is very light on details. It isn't even clear if Amazon has some kind of desktop sync application which is DropBox's bread and butter.
I'd need to wait for a LOT more information on Amazon's offering before jumping ship. Things like versioning (rollbacks, etc) are non-negotiable for many business users and while Amazon's offering might have that the web-site could do a better job letting us know as much.