Would you rename a cut (or even call it different) just because your fingers are a mere centimeter or two from the creator's handling? The precise finger placements of D.C. is personal preference (De'vo mentions that himself in the book), the thing is, D.C. is a grip where one packet is held with the thumb and index finger and another with the middle and pinky fingers, the exact orientation and placements of the packets doesn't matter (heck, they can even be held over the long ends) if two packets are held with those fingers, they are in the D.C. grip.
Good question. YES, I would rename a cut ('renaming something' and 'calling it different' mean the same thing, btw). A mere centimeter or two is A LOT in cardistry. As long as people have 2 hands, and 2 feet, there will be an infinite number of fighting styles(-bruce lee)...ermmm, I mean flourishing styles.
Precise finger placement is required for the eye cut. You're correct, the D.C. grip is much more general. Talon has much more precise finger placement.
Just because De'vo has held a deck of cards in his hands (De'vo GRIP! Everything is just a variation of the De'vo grip. Wow you think that's new? That's just a variation of the De'vo grip. (What is De'vo grip? It's just picking up a deck of cards, therefore EVERYTHING you do in cardistry De'vo already has done) ) doesn't mean he is the root of all flourishing.