While I love the variation in products that comes when people are "creative", we must remember that it is creative within a framework of reference. The category we speak of is absinthe, but it could be bourbon, vodka, etc. And just like any other spirit with a history it has a meaning of sorts that has already been defined.
To know what the word absinthe means, we must find out what it meant.
To know what absinthe is, we must find out what it was.
We must not call something absinthe that lays outside of the definition that history, tradition, and common sense has already provided for us.