Japan does have quite a few units that can handle the Great Wall Gatehouse. You also have very cheap ones and you know they are quite fast especially when you start investing into Onna-Bugeisha

With China being in the Song Dynasty, they're getting villagers faster and faster, and this is just not something Japan on their one TC is going to be able to handle

If you just get Yumi before you get pushed off of stone by the Chinese archers, then the investment into archers from the Chinese kind of feels wasted because the Yumi are just going to win out.

It takes so much investment for the Yumi to really come online: not only do you need the daimyo, but then you need the bannerman to be alive in that fight, obviously steel arrow on the mass. You need all of these to actually beat out regular archers.

It would be rare to see Zhuge Nu from the Chinese against Japanese because this is a classic Castle Age rush matchup. You want to pro scout castle age and Japanese on the other side want to also castle age and get mounted samurai out on the field, so it would be surprising to see Zhuge Nu in there.