I didn't say he can't be black, I said I wouldn't personally buy it and that it wouldn't look good. How is that "****ed up"?
Batman/Bruce Wayne has been white for 78 years, it would be jarring for him to suddenly become inverted in the mask and have an ebony chin.
Same deal with other characters that have masks/cowls with part of the face exposed like Wolverine, Catwoman, Daredevil, Cap, the Flash, Batgirl etc. Contrast is a critical element in the look of these characters. Contrast with opposite features like light and dark create visual interest. That's why Batman looks best in chiaroscuro lighting where his mask is illuminated by overhead lighting.
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It's not racist to say this is jarring. You could put Idris Elba in there and it still wouldn't work.
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You have an avatar and sig combo that shows Batman through the years. Some things have changed such as black to blue, black bat to yellow oval, different artists/styles etc. etc. but all the key elements haven't changed for good ole' Bruce Wayne. They have the same look, same basic origin and same ethnicity. If a comic, cartoon or movie suddenly changed that for whatever reason, there would be nothing wrong with people finding it odd.