Yeah, I think the "paradox" is usually a problem for pundits and academics and not practitioners. Lots of people have experience finding and correcting market inefficiencies, usually getting paid for it.
(And looking at how traders work, it's all about finding a strategy that no-one else has found and executing on it. Once two competitors with similar resources know the strategy, it ceases to be particularly profitable, which to me seems to be pretty in line with the EMH)