Don't toss money away on a gamble that something might become worth more in the future (rule 1), but do spend money on good-to-great companies that should be worth more than their current price and should remain stable over the long term (rules 2-4).
i.e. value investing works, but if everyone does it then people will undervalue intangibles. If everyone chooses to be honest, the first fibber will rule the world. If everyone is violent, the first non-violent group will waste fewer resources. Etc.
While it's clearly not a stable strategy if everyone did the same thing it's actually fairly hard to consistently beat a basket of randomly chosen stocks. Which is why I think rating stocks based on their relative value for your goals and then randomly picking a basket of them is probably the best and most stable strategy. (Excluding inside information.)
But if you're not exceptionally good at what you do, yes, some randomness would help. Though wouldn't the closest analogy to the fastball / curveball thing be to randomly alternate among asset-management paradigms, instead? Have some of your portfolio passively indexed, some invested for catastrophe, some in pie-in-the-sky growth, some in inflation-resistant consumer goods, etc.