Interestingly enough, I think Verizon is paying Lucasfilm trademark rights for Droid; they don't actually own it. Not being pedantic, I just think it's interesting.
Consumer confusion between "Droid" and "Android" goes deep. I developed an Android app version of an existing iOS app, and the client wanted the splash screen & all marketing materials to refer to it as the "Droid" version. I explained to them that Droid is a trademark of Lucasfilm licensed to only Verizon, and both Lucasfilm and Verizon would probably not like to see it appearing on any old Android handset running the app. The designer said I was being needlessly pedantic and refused -- "Droid" was aesthetically more pleasing -- and the marketing people thought "Droid" was more commonly used.
I had to escalate it to the top to get them to drop it. And they still think I was wrong.
I'd love to see whether the average person realizes that Droid and Android aren't the same thing. It always seemed like a huge concession for Google to let Verizon essentially own the public face of Android, but I guess they were feeling the pressure when they made that call...
Probably not. While the Droid mark is a distinct trade mark, it seems to me that Google would have a compelling argument that calling a non-Android Droid would lead to confusion amongst consumers.
Additionally, although unlikely, it may be the case that the licence Verizon has been granted by Lucasfilm relates only to Android phones. As the licence agreement is not public, it's difficult to know whether this is the case or not.
The fact that "Android" and "Droid" are becoming synonymous for many people is very, very good for Verizon.