I think your history is a little off. I don't think Oyama ever killed a man.
But my bigger issue is that Uechi is not for competition. Perhaps you were thinking Shotokan?
And everything you said about Goju could also be said about Uechi. You are partially correct about Uechi being softer. I wouldn't call it softer, that's a mistaken impression. But rather it retains its Chinese influence and is less ridged than Goju. The dynamic tension in Uechi is more fluid. Where Goju is so tight guys could burst a blood vessel in their heads. So a true master of Uechi balances both the hard and the soft.