Google probably wouldn't like it, but how could they stop it? I'm not necessarily challenging the idea, but could they prevent it if they wanted to?
Google runs something called the Android Compatibility Program. It requires that every OEM submit each device to Google for review, before it can be sold on the market as an Android device.
The list of reasons for Google not to approve a device isn't publicly disclosed. It is speculated that no such list exists, essentially allowing Google to ban any device, for any reason (like a dual-boot option they don't like) from participating in the Android ecosystem.
Such a device can still be sold, but it can't be marketed as an Android device. More importantly, access to many of Google's services is revoked, including the Play Store and Google Maps (others too). That isn't a direct ban, but functionally similar, as it is expected that any such device would fail commercially.