Greetings to Sunny California. Give my best to the Ahti Kaend gang - each and every one of them. That includes those that are known and the one who wishes to remain unmentioned.
It is what it is. I believe some wish to be ambidextrous, and some not. I have a dan ranking in both Uechi and Goju, so know what you mean about the ambidextrous training in Goju. But in Goju that kind of training exists only in the instructional forms, which are all of Okinawan origin. The classical forms - the ones that probably came from Fuzhou - are not ambidextrous.
Gary Khoury has done his share of sparring, and taught classes on sparring. He's a big believer in the non-ambidextrous approach. He teaches that way, and swears by it.
As I often tell people, kata are not story books; they are reference books. They are there for you to pick apart and use as you see fit. The Uechi hojoundo were choreographed off the kata, and the choreographers decided to train people in these techniques off both sides.
Some people - myself included - teach kata the regular way and mirror image way. Now for me, not so much. I prefer taking pieces and parts of the kata out, and training them on both sides.
If you play guitar, you do the fingering on the nondominant side and the picking on the dominant side. If you play piano, bass is on the left and treble is in the right. It is what it is.
I'm Switzerland on this. Whatever people want... I'm not going to argue. But I train both sides. One reason I do is for no other purpose than to train my brain 7 ways to Sunday. It's good for you... like reading a book, learning a new language, or taking a calculus course.
And if I'm lucky, maybe I'll learn how to fight.