I don't think that "Tomoe Nage in BJJ" is necessarily "better." That variation is used by both Judoka and BJJ practitioners.
I just like that variation better. I cannot speak for others...
As an aside, Kyokushin was founded by a Korean, so it's funny to see the Japanese being nationalistic about it!
For to win one hundred victories in one hundred battles is not the acme of skill. To subdue the enemy without fighting is the supreme excellence. Sun Tzu