This raises a very good question and these times are really the first chance that we've gotten to really see if bitcoin holds up as a "safe haven asset".  So far from what we've seen up to this point is that bitcoin really isn't the "safe haven" asset that so many hoped or wished that it was.  Over the last month bitcoin is down around 32%.  The Dow Jones, S&P 500 and the Nasdaq are all down around the 30% area.  Therefore bitcoin fell right in line with the U.S. stock markets which have been tanking. 

If anything I would say that gold has held up to be the true "safe haven" asset that it's always had the reputation of being.  Gold was even surging during the beginning of this whole ordeal. Gold right now sits at spot price of $1,625.  It's important to note this is physical gold numbers, as equity gold positions (ETFs for example) tend to shift with the markets much more so that than physical metal.