I'll sidestep that Piketty measures wealth and calls it capital. Because that observation says nothing about how risk is distributed across those returns.
> large investors have access to especially high return assets
$1bn doesn't make for a "large investor" in institutional terms.
> OP is right that a 5% average annual return is conservative
No, they are not.
There are objective measures for this. I've worked closely with endowments the world over. A manager pitching a 5% target return on a fund with a 3.5% annual drawdown as conservative would be fired. A banker pitching the same would be subject to professional sanctions.