I was quite tired when I wrote my first comment, should have been more precise. I also agree, let's stick to the wildcard topic, time control topic is another complex one and worth discussion, but maybe in another thread.
@FischyVishy you say "why x and not y?"
I think I'd trust the organizer choice on this, as it happens with chess (last candidates had Kramnik, why not MVL or Naka? simply Kramnik had had the highest ELO, had been playing on a higher level in the previous year, he's friend with the organizers etc. (lol ok maybe not this last one)). I would not give more then one wildcard "just cause they are good", after all the players have still the possibility to qualify. As I said I know there can be exceptions: I do consider an exception the Jkiller case, since he joined lichess when the tournament had already started! In fact I am in favor of JKiller in the candidates. I think in such situations the organizer should suggest the exception to the players and there should be a vote or something (here's the tricky part, I am not sure who should be able to vote on this, all of the players or just the candidates? I guess this is debatable. It's probably also debatable if there should be a possibility of veto by other candidates.. But this is not the point right now.).
Plus I forgot to say that if a player is chosen as a wildcard one year, I think he should not be eligible in the next 1/2 years as a wildcard: this might also help with your original question, one year x could be wildcard and the next year y would be.