Hi, Doc,
I agree with you in that the second lady's song is better in listening.
The true emotion seems to radiate better in the original singer's (박강성 at the top video).
However, you shouldn't say anything until you hear me (WM) singing this song.
Then, you will know who's best. ㅎ, ㅎ, ㅎ.

By listening to both, I learned it and made it one of my karaoke repertoire. And I love it.
One can sing this song in two styles, one like the man (박강성) and the other like the lady.

농담과 잡설은 접고, 우연히 이노래를 접했는데 첫 눈(귀)에 반했읍니다.
I love everything about this song.
Just listen to the song a couple of times. You will know what I mean.
멜로디, 가사의 내용, 분위기, 서정적인 감정 등등이 초일급입니다.
서양 Pop song에 이런것을 구사, 구비한 노래가 많지 않어요.
I believe some Korean pop songs have world-class superiority in their beauty and quality.
Why don't they get translated and exported to other music communities of the world?