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Haha I know how you feel. Especially mine. Constant stalling with Aboma, Walrein, and even Smeargle. Haha since I started using a more defensive team, most people flee.
You mean Eminem, right? Because Oblivia is the trainer name that shows up in some Event Pokémon.
And he is using an Emulator, such as Desmume, because there you can save stats (saving an image of the game, without saving it ingame) and such things.
Note that when you are offered an event, you have to pick up the event from the event person in the PokeMart (this is actually via Wi-Fi). That could be any date, while the time the event was actually implemented on the day was within the timeslot you have talked about. And, I did not obtain the Celebi this year; it was last year during summertime (when I had my free time). So it pretty much fits.