It could happen if the government allows the crypto to be used as the payment. Maybe people can shop their daily needs online, and they can pay using crypto, but so far, they can use their debit/credit card to pay, so I don't think it will happen soon. The government concern about finding people and how they can cure the virus, but if one country is collapsing because of the virus, then maybe that will encourage people to use crypto for the payment systems because they can pay from their home without going to the local store.
I believe that Debit Cards are also an easy way to get infected with the coronavirus since cashiers use to touch them in order to process your payment at a retail store. Being cashless with truly digital payments removes this issue. In a world where the economy is collapsing, people will lose trust in central banks worldwide. This will pave the way for the growth of decentralized finance via the use of crypto and Blockchain technology. By making payments in a truly digital way (no physical cash or cards required), people could easily avoid spreading the disease worldwide. After all, it's no secret that physical bills/banknotes are in circulation. They pass between many people's hands which proves to be an extreme risk to everyone in the mainstream world. Debit/credit cards can be used to pay at stores physically, but some cashiers take your card to process the payment. The safest best is crypto where money is truly intangible and safe from emerging diseases in the real world.
The fact that crypto is extremely volatile in price, could scare away many people as we know them. For once, Bitcoin was hailed to be a store of value and a safe-haven asset that would protect you in times of need. Last Thursday (March 12, 2020), Bitcoin has proven us wrong as it lost 50% of its price in a single day. It's this reason why it's hard to attract people into using decentralized cryptocurrencies for daily payments. So far, national currencies (Fiat) are the winner when it comes to price stability. Most people have resorted to cashing out precious metals and even crypto in exchange for Fiat in times like these.
Saying that people will use crypto more thoroughly with the recent events of the coronavirus disease, it's more like a dream than anything else. Of course, anything could happen in the future since Bitcoin and crypto are still in their infancy. As they mature, they could be used as a "safe-haven" against the existent monetary system. In the meantime, Fiat will be used in times of turmoil until the banking system collapses in its entirety. Only then, people will resort to alternative forms of money that are free from a central authority. I hope that someday, crypto will be used more thoroughly when undesired events happen in the mainstream world. Just my thoughts