No, you're misunderstanding it. See, people remember Mark, alive. They also remember that a guy was killed at the Pokémon Festival. It's the connection that is buried deeper - his parents don't really remember that it was Mark who died there, and the unconnected people who read about the death and meet him later don't realize that his name and appearance are the same as the guy who was killed, unless they see direct, undeniable evidence, such as in Crater Town where people could look at the newspaper article about his death and him alive side by side.
Alan: Huh? May: … Mark: Eh? That was a joke. o_O May (again): What, should one have a problem with being named after a month?
Mark: I don't think so. I mean, strategically it would probably be better, but I think introducing a new Pokémon to the team now would be a bit awkward, you know? It wouldn't be the same if they haven't been with me on the journey.
Mark: Well, I was never necessarily going to catch a Vulpix. I mean, I love them, but I've got Charizard, and by now it's a bit late to start trying to add a low-level Pokémon to my team. I might get one when this whole ordeal is over, I guess…
Chaletwo: Well, you can't recreate the soul. He could've made something that looked like Chalenor, but not actually him. He used Mewtwo's body to make me because he wanted to do it quickly, so he could transfer something of the original Chalenor from the eye.
Mew: That would rest on whether or not he formally released me. I do not know if he did.
You cannot ask Raikou questions, because Raikou has never appeared in this fic (though as a matter of fact, Raikou has been caught this whole time and had no opportunity to make a Chosen for himself).
Mark: What do you mean? Trainers couldn't interfere in the Pokémon Frenzy Tournament, and I didn't really have the time to try to snap him out of that Attract or whatever it was at the Crater Town Gym before she'd taken advantage of it.
May: You too? I'm getting really sick of all this Pokémon-are-your-friends blather. Yes, yes, they're alive and I should love them for who they are and all that, but that doesn't change that Pokémon battling is a competitive sport. If you're going to be any good at it, you need to make a well-constructed team and they need to be fully evolved to live up to their full potential, with a few notable exceptions. I don't care what Pokémon you used to beat some video game; this isn't a video game. This is a real competition and you can't just go into it waxing poetic about how Pokémon are your friends and expecting to get anywhere. It's too bad if some Pokémon don't like it or generally aren't up to it, but then I can release them and use some others that are. I'm not some sort of a monster trying to be mean.