I agree that second rounds of overloads have to be left to the implementers of `__array_function__` - obviously, though, we should be sure that these rounds are rarely necessary... The link posted by Stephan [1] has some decent discussion for `__array_ufunc__` about when an override should re-call the function rather than try to do something itself.
-- Marten [1] http://www.numpy.org/neps/nep-0013-ufunc-overrides.html#subclass-hierarchies
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