crash course "its impossible"
converging a trio will still have splotchyness, but trios be they optics or relfectors cometogether rather nicely when WHITE, with rgb you would expect to see a trio of blotches that overlap.
more work needs to be done on it, in general, its not attempted very often for 2 reasons, getting "white" is hard without floodyness. and "white" leds use phosphors, the use of phosphors make the led capable of achiving the high lumen per watts, almost as high as CCT and other florescent, which USE phosphors to achieve that.
RGB doesnt yet have phosphors that i know of. that isnt available to us yet, colored leds that are using phosphors, but if you wanted to revolutionise LEDs one more time
figure out how to do colors with phosphors, and different inital gate colors.
a converging system of a trio, would be converged AT some distance, not always converged. also how blended to white you "need" is relative, do you need it good enough to point at a white wall, or just good enough to be usable.
best thing you can do is get a few item, and do experimentation.
even if you made a light that only does 3 color splotches, you can have 3 drivers and make cool colors, or difuse the heck out of the front and have a darn good spectrum, that is floody. and it would still be usable and different and cool.
you cant "compete" with white in rgb without phosphors though. and RGB cant "compete" with "white" leds yet in visual spectrum, and color control, two different worlds used (at present) for 2 different things.
what I did was use 3 (and then 4) RGB items, and rotate them , which made "white" more just because then i had 9&12 emitting things not just 3. The disco type lights and area lights that use RGB do so with many emitting things (100+), so they get better blending too, but all of them are very floody