Bitcoin's safe haven status will be properly put to the test some day possibly soon. I'm pretty damned confident it's going to fail miserably too. It's far too early for that.
In what way will it exactly fail miserably?
If we look at the past, which of course isn't a guarantee for the future, but just based on the past, it has been an outstanding safe haven for those in need of it, and that in every possible aspect. It's pretty unique on its own and unseen in the traditional market. On top of that, the term safe haven can mean anything in reality, which all depends on people's preferences and use cases. Maybe you're referring to regulations making things more difficult than before?