I do it like he did, using the entire sheet. Easier to make it perfectly level and plumb and I go back and piece in where needed. I also pull out pieces where receptacles go, cut them independently and replace them in the mix.
It will, but, IMO, it wastes tile. Now what are you going to do with the tails you cut off? In reality, thinking on it, it could be a moot point, since you are actually achieving the same thing. If you can get a good cut without boogers on the edge of the tile, then your method would work. With mine, it seems a factory edge looks better. It may just be in perception.It seems a straight cut on the tile saw does the job.