Woke up wondering why the Lupin horse racing commercial looked so good, and according to sakugabooru, it's because the key animation was done by Hisao Yokobori, who sakugabooru also attributes significant cuts from the Part 4 and Part 5 openings, the Lupin Zero ending, Eternal Mermaid, and Bloodspray to, as well as cuts from FMA: Brotherhood and Whisper of the Heart. So that does explain things.