The virus only spreads from an acutely symptomatic person. People with no symptoms do not spread the virus. Therefore, there should be no asymptomatic testing.
Post-lockdown SARS-CoV-2 nucleic acid screening in nearly ten million residents of Wuhan, China, published November 2020
A body of evidence supports the idea that asymptomatic testing leads to false positives.
False-Positive Results in Rapid Antigen Tests for SARS-CoV-2, published January 2020.
SARS-CoV-2 Infections in Close Contacts of Positive Cases in the Olympic and Paralympic Village at the 2021 Tokyo Olympic and Paralympic Games, published February 2022.