A serious economic downturn is likely to sink the fund entirely anyhow, so you might as well optimize for the case where that doesn't happen. This is one of the serious principle-agent problems in investing in general - equity holders and management aren't incentivized to preserve value for creditors, so they take more risk than is ideal for the overall capital structure.
Depending on how you define a "serious economic downturn". The one thing funds that invest in private companies has it that they can mark-to-model rather than mark-to-market. If it's not a prolonged downturn, private funds can much more easily ride out downturns than funds that invest in public securities and have to actually mark things in a realistic manner. Given the longer lockups of most PE funds, investors are also along for the ride.
I don't know more than the basics, my thought was if you pocket $2b/year and invest it, you have $13B+ in 10 years (plus your own $28b you've invested that I didn't include). So $40B to whether a storm every 10 years seems reasonable.
I think you are ignoring a lot of factors that come into play when you are managing assets on the scale of 70B$. It is easy to sink 1000$ in a minute into an index fund using Robinhood. It is not as easy when you are talking numbers on this scale.
This is totally untrue. Volatility in the short term -- one serious year down -- can sink you.
No sane actor treats S&P's average rate of return as the risk-free rate.