I would like to see that too. I switch between a Maxx and a GNex, but if VZW gets the Note I'd love to try it out. I'm really getting familiar with this 10.1, and after a few rounds with other Android tablets, this one is going to be a keeper.
I'm not sure how the Note 2 will work with the 10.1, but the Note 5.3 works great as a companion device .
Using wifi direct you can transfer notes taken on the phone straight to the tablet flawlessly, even without an internet connection. The tablet to phone transfer is not as smooth, but I guess in most cases my experience has been where I'm using the phone on the go, will jot a quick note or idea, and then get back to the tablet to edit and expand the note or idea. In that instance it works like a charm.
I'm eagerly waiting on the Note 2, just because I have to be an early adopter. This time I have my hopes are up that it not be an At&t exclusive. I think the other carriers see the value that they, and many others, didn't see the first time around.