There are many hedge funds with much lower volatility than the average mutual fund. Hedge funds are not inherently more or less risky than mutual funds, they are just actively managed instead of passively managed.
It reminds me a story in rare no-nonsense books on stock trading about 90% people losing money or doing less than stock index because of trading fees while activelly managing it. The ability to make good money in stock markets is a rare talent and hedge funds only make hedge fund managers rich, most of the time.
Mutual funds can be actively managed also. Hedge funds are a riskier investment: they are more opaque, can do more exotic things. But pension funds are sophisticated investors and should be able to make intelligent decisions about using them as part of a portfolio.