I don't particularly doubt the waste of tape is somewhat necessary. The way TZe tape works is there's a double side sticky backing, a thin film with a coating of ink (selectively transfers, with the used tape re-rolled internally) when heated and pressed onto the sticky backing), and a clear coverlay. The problem is that because of the thickness of the cutter assembly (which is actually just a mechanized pair of scissors internally), there is about an inch of tape after the layers have been laminated, but before the tape is cut. The printer has to advance the tape to get it cut at the right place, but by the time it's gotten there, the tape now has a stub of white tape on it, which if not cut off, would get stuck to the next label.
"Chain printing" solves this problem by letting the printer delay the "advance and cut" operation until it has something to fill the otherwise wasted inch with.