Your family name is "Jones".
Let's say you have next to no contact with your extended family. Now, everyone in your immediate family died but you in a car crash. You're alone. Do you lose your family identity? That is to say, do you no longer possess the ability to self-identify as a Jones? If so, why and how? What if you married, your spouse took your last name, you had kids, etc?
I would argue that identity is self-based and if you can identify with it along with possessing a history of it, whether or not it has been eradicated from the physical world, it still exists. A name is a identity and it is up to each person to make the choice to familiarize oneself with that name or not. Everything in this world changes, including people and their circumstances and situations (this includes family, bands, and any other group you can think of).
So, in saying that, "the new group of people isn't Smashing Pumpkins" is like saying "the person that lost his immediate family and started over isn't really a 'Jones' but some other 'name') -- which of course doesn't make sense -- that person was always a Jones since birth. Also, keep in mind that Billy Corgan is the founder of the very idea of "Smashing Pumpkins"...
In the end, I don't really care who thinks and feels what about the band but I do think it's interesting from a logical POV to claim that SP is "not really SP anymore" -- to me, it's simply a case of a person expressing that they can no longer identify with the band as its pure/original form. But like my analogy about the family and the fact that going through life changes everything about everything, it seems rather immature. Rather, people should express that they "no longer enjoy SP as it once was" and that's in their rights -- but claiming a fact when its not logical seems...well...yeah.
Edited by serotoninsage, 27 March 2012 - 02:35 PM.