I have actually found it really useful to give the worst case scenario a thorough think-through. It's often reassuring. Choose the most *likely* scenario, and give it a test run. For instance, my husband and I are just starting to build savings, etc. We're doing better than we have in years, but we're still living off probably 75% of our take home income, and we don't have much of an emergency fund (not months worth of savings). Our most likely scenario is that one of us loses our job (although it's possible that there's a 2008-like meltdown and we both lose our jobs and the value of our home plummets, that's more than I can plan for right now, and doesn't seem likely in the short term where we live).
If one income goes, it doesn't just disappear. We need to live on 1 salary for 2 weeks-1 month, then employment insurance kicks in at 50% of salary (to a standard max) for up to 52 weeks. That's 75% of our total income to cover today's expenses. But we wouldn't keep today's expenses! Not only would one set of commuting and other work-related expenses disappear, there are all kinds of areas where we could cut back to bare bones if we needed to (over-payments on the mortgage, RRSP savings, non-essential groceries, etc). Although we are certainly working hard to build our savings, I find peace in realizing that we are incredibly priviledged, and there's a lot we could be flexible about if we really were in crisis.
Note that we're in Canada, so the health crisis is less of an issue, but people do fall through the cracks here too, in unusual circumstances. But we also have family and other emergency safety nets if it really came to that...YMMV, of course.