You need to understand the reason behind the push for cashless society - and it's not the spread of germs through paper money. Governments want cashless society because it allows them to track everyone, banks and payment companies want cashless society because it's more profit to them. Advertisers want cashless society because tracking allows them to deliver targeted ads.

All those parties aren't interested in Bitcoin, because it doesn't allow them to achieve those goals, so Bitcoin would never be a part of it. You won't see governments telling their citizens to use Bitcoin instead of cash.