Putting Bitcoin as a safe investment along with gold and silver is laughable. Things that routinely fluctuate 10% or 20% in a day are not safe havens to store wealth. Gold has thousands of years of history as a (relatively) stable store of value, but bitcoin has barely a decade and it's rife with horrific crashes. There's no way you can make a credible argument that something that volatile can be a safe haven.
Agreed, but I do think Bitcoin's monetary policy lends itself to being a store of value. It just can't be done overnight. This volatile price discovery is theoretically just part of the early adopter phase, for the same reason startup penny stocks can be so volatile. Investors are speculating on a rather binary situation: mass adoption (or capturing major market share)......or failure.
If the first scenario plays out, I could see price plateauing an order of magnitude or two higher than now, with volatility gradually declining as the speculative nature of Bitcoin becomes fully priced in over time.
Gold is still considered a rather volatile asset, easily fluctuating 1-5% in a day (it fell 6% in a day last month). I could see BTC eventually occupying a similar store of value niche and degree of volatility to gold, or certainly silver. It might take decades to get there, and maybe I won't live to see it.