Professor Kisuke being the cryptid of the pokemon research world is so fucking funny yet so on brand. Man really posts incredibly thorough research with well thought conclusions (though the initial inception of the experiments seem almost spontaneous and on a whim) and then doesn't answer questions unless you ask them in person. Which is a problem, since no one knows where his lab is aside from the general region he lives in, he doesn't seem to travel to any of the conventions, and somehow has almost no online presence??? He's a mystery all on his own /silly
It's funny that you point out Kaito doesn't introduce himself with his last name, because to be entirely fair, I don't think the wider pokemon research world even KNOWS Kisuke has a kid (potentially 2 if he's adopted Uryuu here too). So even if they found out his name was discovered to be Urahara, I think people would initially sort of laugh it off as a funny coincidence because it probably wouldn't have occurred to them that Kiskue might already have a kid old enough to go on their adventure.
It's perfect if Kaito doesn't yet reveal that 'Professor Urahara' is his dad because wow, that professor seemed really excited and he needs a minute to process this before he escalates to THAT conversation.
I'M CRYING, Kisuke desperately trying to get Kaito to explain only for Kaito to ignore him, give him a quick update on how his journey has been going since the last time they called as a check in, and then HANG UP
Bonus points if the professor he's talking to that found his response familiar THINKS KAITO IS JUST ALSO A FAN of Kisuke's work and NOT HIS SON. Kaito is keeping that shit to his chest for now, though he's internally amused that wow, his father must really be a hermit if there (seems) to be no photos for people to compare him against because he DOES look a TON like his dad. (Though to be fair, Kisuke and Yoruichi probably covered their tracks and scrubbed their online presence fairly well when they left the Sereitei region)
Omg Yoruichi is the in game plot armor that minimizes the realistic affects world ending plots would normally have /silly
God, we could probably go AWHILE on trying to convert Aizen's plan into something that fits the pokeworld and how Ichigo was supposed to fit into his plan and so on but for now that's probably not really necessary unless we're gonna talk about Kaito running into him or any of his subordinates. Though it might be interesting to consider how Baby or Toddler Kaito being with Kisuke and actually physically present in their lives for the Exile affects things, because THIS Aizen will have been aware of Kaito's existence since the start, unlike Dragon Eclipse Aizen, unless Kisuke, Yoruichi, and Tessai somehow managed to hide Kaito's birth from everyone...? And that begs the question of why would they feel the need to do that.
Though Aizen might have some problems getting to Kaito now that Giratina is in the picture and would absolutely banish someone to the shadow realm if it perceived them a threat to Kaito. AND Giratina would only feel even more vindicated in doing so if it knew Aizen's history with the adults, so surely that gets brownie points with Yuroichi /silly