I was a recent user of N360 Premier, then when I needed to renew, I bought a box-copy of N360 Multi-Device from my local cost club since the price was great. Upon installation, it had me do the usual "uninstall - reinstall," however the Multi-Device still looks exactly like Premier. In fact, when I mouse over the Norton icon in my system tray, it says Premier.
So far, the only difference is that I was able to install it on my Galaxy Note 3 for free.