This is a false statement. There are 12 states which require paid sick leave, amounting to 30% of the population [1]. Federal employees are guaranteed paid sick leave days [2]. According to the Bureau of Labor Statistics, 61% of workers have paid sick leave, 78% have paid vacations, (80%/90% in large employers with 500 or more workers) [3].
That whole section is just political garbage. There's plenty of reasons to believe that businesses will take precautions themselves to limit the spread of the virus internally, which includes offering paid sick leave to encourage people to be extra careful.
[1] https://www.ncsl.org/research/labor-and-employment/paid-sick... [2] https://www.opm.gov/policy-data-oversight/pay-leave/leave-ad... [3] https://www.bls.gov/ncs/ebs/benefits/2009/ownership/private/...