It's not unreasonable therefor to imagine that the price of BTC could be negatively impacted. I think it's because, when crisis's like this hit, people are often left with costly medical bills or unplanned expenses travelling to see friends / family, as they start to withdraw from investments and that has a bit of a negative trickle on the economy, more and more people start selling them.
Maybe it wont, ultimately who knows? I could be wrong and I think a lot of it is going to depend on how bad this situation gets. If it does just fizzle out then we may get through this pretty much unscathed.
So I guess the only probable chance to escape the virus is to go to a lonely corner of an island far away. ^^ In a full scale crisis the price for the medicine won't be that high. Governments would intervene and make it available for everyone, which actually also makes sense. There is not much need to govern if no one is left.