Norton Security w/Backup to Norton Security Premium

I just noticed that Norton Security with Backup does not become Norton Security Premium after applying all of the updates available via Live Update. My guess is that the three new services (Standard, Deluxe, Premium) are treated as new products when compared to NS for 1 Device, regular NS, and NS w/B.

In other words, in order to see Norton Security Premium as the name of the product, we have to uninstall NS with Backup first, and then install the newly downloaded Premium edition.

Am I right?

Thanks