I've been a deadhead since '70 and that did not change when the band retired. Even without a band I was still a deadhead.
I find I have to qualify that to others (family) by saying 'I am touring with the new Grateful Dead'. I do consider this band to be just that, although I know not everyone agrees with me. I find that this band makes my energy flow just like the original GD did back in the day. Everything is always changing, mutating and growing. So Furthur is the product of that process.
It would be cool to coin a new phrase. From your offerings I like FurthurZoids the most.