Apple Watch S7 Korean Keyboard support

I set up Apple Watch s7 language same as my iPhone.

Languages are English and Korean.

But I noticed that Apple Watch doesn't support Korean keyboard when I tried to text on iMessage or KakaoTalk from Apple Watch. and every time I switch to Korean keyboard, it shows " Apple Watch keyboard finish entering text on your iOS device" and I have to type from my phone.

But I came across that I couldn't fully understand. Apple Watch S7 released in Korea as well. that means Apple Watch should support Korean keyboard for Korean right?

or is my Apple Watch something wrong ? I am wondering how other people Apple Watch S7 does for Korean keyboard.