Cubase Elements/LE/AI shares the same installer and executable. Just the license decides, which features will be available in the application for you. This is the reason, why do you see Cubase Elements/LE/AI as the application name.
As I mentioned already, important is the license. You can see the exact license in your MySteinberg account or in the eLCC application.
With Yamaha devices, Cubase AI has been always bundled.