Windows is an amalgamation of drivers, system services and applications.
The only real difference is that Windows runs locally, Alexa doesn't.
As long as it's connected to the internet arguably you can't tell the difference.
Unless you are going to have an academic study about what an "Operating System" is Alexa is an OS since it's the "platform" your applications run on, and it's a unified interface with the same rules and expected behaviour.
Alexa is about as an OS as "Chrome" is (not talking about the linux part of Chrome OS), user's don't know about kernels, drivers, services, daemons and all that nonsense they can grasp what an interface and a platform is and for them it's indistinguishable from an operating system regardless if academically based on current software engineering convention it is one or not.
Technically ChromeOS isn't an operating system either, it's some offshoot of Linux that runs a Chrome Browser and all your apps run as Chrome Apps, you can run native applications to some extent on it as well but it's not the interface and expected behaviour users would experience.