To answer the question: can BTC really be a safe haven? we'll have to find out what is the main problem that keeps it far away from being one?
It's down to size and saturation. Both are a fraction of their possible eventual dimensions. If it doesn't continue to grow and distribute wider it'll forever be the plaything of a few creeps on bucketshops.
The leverage thing won't go away. That's what attracts people to it. What'll temper it is more of them ballsing up and wiping themselves out and real world usage prising it out of their hands. To get to safe haven status will take many years with many bumps along the way.
I think Bitcoin is a kind of safe haven. When we say safe haven this can be a comfort to many people. This will serve as a source of income to many people. Because the other safe havens seem to show negative correlations with the so-called risk assets such as stocks or oil or high-yield bonds, bitcoin shows no related articles to anything apart from cryptocurrencies.