I reserve the right to randomly sign my messages.
My 3rd Medalist Pokemon was Magikarp, and it earned that position alone with no other species.
I have too many Bouncekarp.
Eevee, Lapras was a major plot point if you consider the preceding event you needed to finish to obtain it (Beating Team Rocket).
Really, if you think about it, all his Pokémon weren't just gifts in HgSs, but Pokémon he needed to encounter. Pikachu and the starters was just to not pick a specific canon (as Red wasn't called Red in Yellow and in Japan, the default name was Blue for the rival rather than GSC/HgSs' "Green", if that's your logic) and you needed to fight at least one Snorlax, and do the event to obtain Lapras in the games. Eevee was just incidental.