The employees of these businesses also consume products from large cap companies. Who is going to buy things if they’re out of work?
I'm not without hope, but I fear we're going to see a lot of otherwise great businesses (breweries, bakers, barbers, spas, bars, restaurants, etc) go under and not get replaced by businesses of the same caliber anytime soon. If my barber closes I'll keep cutting my own hair. Same with my favorite local bakeries, restaurants, breweries, etc. I certainly won't start eating Applebee's microwave dinners and sugarritas just because they're the only joint in town.
I've diverted a significant portion of my savings due to this pandemic towards my retirement, but that actually has a small deleterious effect on my local economy as it is not strongly exposed to greater market forces as I'm reducing the volatility of money in my locus. I'm sure that I am not be the only one making choices like this.
A related assumption is also that government bonds will be a less attractive alternative place for investors to park their money.
I want to add emphasis on (2). The effects are not spread out uniformly across all businesses. The hard hit businesses including restaurants, bars, and hair and nail salons have seen almost all of their business evaporate. You're not going to find the corner nail salon in the S&P 500.