The story is that, in place of the Japanese title, someone chose Sukiyaki since it was already a popularly used word in America. You're right about the song's author. I sing it all the time, but I compared my lyrics witht he actual ones. I was close, but no cigar. It's funny how you hear a song over and over, but still can get the lyrics wrong.
"Generosity. That was my first mistake." "Experience must be our only guide; reason may mislead us." "Instagram is Twitter for people who can't read."