The US Census Bureau basically said as much recently. Their findings from October stated that 3.7 million people in the US were currently unemployed because they were "caring for someone or sick myself with coronavirus symptoms" [1]

[1] https://www2.census.gov/programs-surveys/demo/tables/hhp/202...

Edit: to clarify, a lot of those 3.7 million people are probably suffering from acute Covid, but if you look back at the older survey data, the number of people not working due to "coronavirus symptoms" still seems to remain pretty high even when cases are low.