Not necessarily Bitcoin. People may choose any digital mode of payment if it is their health which is your concern, since what they are trying to avoid is physical contact with other people. And more likely, they would choose those of which is being widely used by some countries over bitcoin because of the market price stability. If they are not into profit, converting their money into crypto or Bitcoin perhaps, would turn it into an investment and since the market prices are naturally volatile, there are chances for profit loss which is a downside given that we are talking about a "crisis", and they cannot and also won't have time to wait for the prices to go up before they would fully make use of their money without hesitations.
Bitcoin can make people die suddenly when seeing bitcoin price down to lower price, how many people looks frustrated after buying bitcoin in higher price about $16k and what situation when seeing bitcoin right now down, will be side to make some one die suddenly when not ready with bitcoin going down.
Frustration will really exist and that won't be necessary for them knowing that they are in times of difficulties. So maybe, converting their money into Bitcoin will not be beneficial at the moment.
I watched a Youtube video last night about the food merchants in some of the markets in Wuhan and I noticed that most of them are using electronic payment methods to pay for goods. < Wechat Pay >
Ok, it is not Bitcoin, but if more merchants using Fiat currency can switch over to Bitcoin, you might see less infections. The reason for this is simple, because the Corona virus can be transmitted from person to person via cash being used on a daily basis.
People can also do online payments with Bitcoin to avoid handling physical cash and thus avoiding infection. It can also prevent people from being infected from a host of other viruses and bacteria that can survive for days on physical coins and notes.
This is just one more reason for people to move away from physical payment methods and shifting to a cash-less financial system in the future.

This has a point somehow and aside from it will probably avoid possible transmission of virus it will make every transaction much faster than when paying using cash. However, in the case of China, they limit the use of crypto or bitcoin that is why it is not sure if their government will allow the use use of it as a currency.
Avoidance of physical interaction is just a narrow angle with regards to this case.