I rinse and repitch because I not only don't buy yeast, but I only do a starter a couple of times a year. And I know the rinsed yeast is fresher than a pack shipped from Wyeast, if I use it within a shirt time from harvesting. Cuz I don't live in their backyard. I also have always wondered, would a starter like you describe count as a generation? Anywho I rinse and repitch because I'm cheap, lazy, and it works. And I still am convinced yeast need a few gens to adapt to your brewery environment and hit peak performance. That said, my way works best if you have a "house yeast" you stick with.