I’m not sure there can or will ever exist a safe haven. Especially if we’re talking about currencies. You can even call the dollar or euro pretty stable, but considering how any crypto, especially bitcoin, is a rollercoaster and quite often follows the stocks, bitcoin is definitely not a safe haven.
I think is safe haven is more subjective, the guy who has gold for the past decades in a very cheap state would choose gold over other currencies and store of value, those who were able to buy bitcoin when it was below $10 would be more than happy to called it the fathers of safe haven. I have friends from my location who have been doing Bureau D change for several years who happen to buy dollars when the country was not depending on it for importation but things have changed, the government has been strict about making dollars available for citizens to discourage people from importation and people still need it and the value today has increased more than 3X, they are doing well in that aspect as a safe heaven.
Buy bitcoin, you will enjoy it tomorrow if hold it for long term.