There's science on both sides. Like I've said, in my opinion the amount of time that someone could be sick asymptomatic is such a small window that it's negligible. Especially for illnesses with 99% survival for reasonably healthy people.

"we conclude that the infectivity of some asymptomatic SARS-CoV-2 carriers might be weak." https://pubmed.ncbi.nlm.nih.gov/32513410/

Covid-19: Asymptomatic cases may not be infectious, Wuhan study indicates https://www.bmj.com/content/371/bmj.m4695

Evidence of asymptomatic spread is insufficient to justify mass testing for Covid-19 https://www.bmj.com/content/371/bmj.m4436/rr-10

"This screening programme identified 300 asymptomatic cases. But the virus cultures indicated no viable virus in the identified asymptomatic cases. This means that these people were not likely to infect anyone else." https://www.nature.com/articles/s41467-020-19802-w