From what I understand, the BestBuy blue version does not have the VZW logo on the back. However, if you purchase a Turbo and it has the logo, it is a simple to remove sticker.
I couldn't stand the logo as I prefer to use a clear/naked case to showcase the BN back. I figured out how to remove the logo. Here's my thread... http://forums.androidcentral.com/motorola-droid-turbo/490507-vzw-sticker-logo.html