This was the argument made by Protege Partners, when betting against Buffett in the great "index funds vs hedge funds" long bet [0]. It turns out that the index funds fared better — and they're mainly used for long-term investment, where the short-term macroeconomic ebbs don't have an impact on the overall return.
Of course the variance on the active side will be higher, but there are as many losers as they are winners, and much of it is due to simple randomness. Unless you're confident that you know more than other investors (for many people, including myself, we probably don't [1]), index funds, or "hugely diversified portfolios" are the way to go. Basically, no hedge fund is making those 200% returns you're speaking of, and even if some fund were, empirically it's more likely to be just noise. Look at the result so far of Buffett's bet on hedge funds. It speaks volumes.
[1] https://en.m.wikipedia.org/wiki/Dunning%E2%80%93Kruger_effec...