Among the less white boroughs that I know of, Newham, Tower Hamlets, Redbridge and Waltham Forest all voted Remain. But then you've already got your argument ready: the EU is where the immigrants come from, so naturally they voted Remain. Actually, checking the figures further, the 10 least white boroughs all voted Remain. The least white borough that voted Leave was Barking and Dagenham, which is 14th on the list. The whitest borough in London also voted Leave, as did the 4th whitest borough. So the actual figures, as opposed to your imagined theory, suggests that the more multi-ethnic a borough is, the more Europhilic it is.
BTW, you must be one of the very few who reckons that 40% non-white is not multi-ethnic. The national figure is 12.8%.
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