Azure is actually quite good for .Net website hosting. That's the limit of my experience with it as the PHP/MySQL option sucked (due to persistent timeouts caused by limited connections to the third-party database hosting they use for MySQL). Availability, performance and pricing is, as ever, a matter of lies, damned lies and statistics depending upon how you look at it and who you ask.
It's a shame, really. Dropping 'Windows' from the name makes sense in that 'Windows' is a dying horse with a pretty bad smell in these days of OS/server/form factor alternatives, but replacing it with 'Microsoft' won't help until the automatic mental association with 'Windows' in the public consciousness has gone.
It's a necessary step but only the first of a large number needed as they 'pivot' (yes, I too hate that word but for this it seems appropriate).
Personally, I get the feeling that Nadella is embarrassed with Windows and if it weren't for support life-cycle expectations and residual revenue he'd like to phase it out. They have enough other billion-dollar businesses to survive quite happily, and the dead-weight of Windows is dragging them down.
In fairness, I guess it's difficult to turn your back on a product that brings in billions - especially if you have shareholders - even if you know the association is losing it's lustre.