I agree that the black sole is an improvement over the white sole, and I know that black accents are a traditional accompaniment to burgundy shoes (e.g. black laces and a black welt), but I think that for a burgundy sneaker, there are sole colors that would be preferable to either black or white. One option would be a burgundy sole so that the shoe is monochrome - this is the equivalent to an all-black sneaker or an all-white sneaker. Another option that I'd have to look at to gauge whether it might work is a brown sole. It'd probably have to be dark brown so that the sole wasn't lighter than the upper, though, and then it might look similar to the upper but not identical. So that option might not work.I get that Walnut is a seasonal color, especially in the Northeast, but that is why a Dark Chili shoe is be great option. Walnut for six months and Dark Chili for the other six months assuming that one has lighter and darker colored wool trousers to match the seasons and the shoes.
I don't like the dress sneaker look. I'm simply saying that if someone put a gun to my head and said I had no choice but to wear one, I would choose a black sole over a white sole. In the real world, I would never wear one as that style is not for me.