How does gi training take more technique? That makes no sense. The only difference is being able to grab their gi and using it for different things which are essentially useless in an MMA setting. And I don't understand the whole nogi is more strength than technique. That is completely false.
But no-gi game does require more speed, or better said, it relies more on speed than the gi game.
I will also recommend no-gi, since for what the OP wants, it's more practical.
"He who defeats himself is the mightiest warrior" - Confucius(I think)