I live in a heavily impacted area for the virus, and am myself high risk, so we're doing all shopping online. All local supermarkets are still booked for deliveries a week in advance, and no store with local delivery has had any tp in the last two weeks, so we may still have a while more to wait as confirmed cases increase ~45% each day, further panicking people, along with those that hadn't panicked yet.
Not sure if maybe this is a generational thing or what but...
I used paper towels, newspapers, and magazines all the time as a kid when we ran out at home and never once clogged anything as far as I can remember.
There is also the option of throwing the used paper in the trash. This is standard practice in Mexico and I assume many other places with poor water pressure.