Branding has always been a problem with Microsoft. It’s like they never have meetings over choosing the correct brand name or even did their due diligence before choosing a non-copyrighted name (SkyDrive?). That being said, I was happy to know that Microsoft is rebranding Windows Azure to Microsoft Azure.
The new name will certainly remove any left over confusion around Azure being a cloud service provider instead of a standalone over the shelf OS product that average consumers or enterprises can purchase to run on server hardware.
Microsoft Azure is becoming the one stop shop for all subscription based cloud services. I believe that sooner or later Office 365 will also find a home in Azure just like Visual Studio Online did.