I think when crypto currency has more wide spread acceptance the reaction to economic downturn might be similar to gold. That is, that people will use btc/altcoins as a safe place to store their savings.
But the current market is still in the early phases, so crypto is seen as more of a risky, speculative investment. So if a world crisis were to happen in the next month, I would expect to see crypto as a whole fall. People don't tend to put money towards high risk markets during times of uncertainty.