I don't understand quantitative finance, but I had the impression portfolio theory can find a place for any amount of volatility. If the volatility is very great or it's correlated with the rest of your portfolio, then your appetite may be small, but high returns may make it still worth buying some. Is that wrong? I also have the impression that bitcoin's volatility has been relatively uncorrelated with other asset classes, so that'd be a plus. (Maybe I'm wrong about that too.)
No, you're right. For portfolios It's all about the covariance matrix. Having said that, there is probably still the more banal reality of pensions or institutional funds actually needing a portfolio manager to go out and buy bitcoin, which probably would be a publicitly/legal nightmare if done poorly, or if the first person to do it gets burned.
On the other hand, if one pension starts a trend, there might be big benefits to being first in. How do does one fit such outcomes into the volatility calculation...