Washington Post article explains clearly that Trump's administration had people embedded in WHO and received real time updates So it is a lie that the administration did not know everything that the WHO knew from the very start.
"15 officials from Trump's administration were embedded with the WHO in Geneva, working full time, hand-in-glove with the organization on the virus from the very first day China disclosed the outbreak to the world, Dec. 31. At least six other U.S. officials at WHO headquarters dedicated most of their time to the virus, and two others worked remotely with the WHO on covid-19 full time. In the weeks that followed, they and other U.S. government scientists engaged in all major deliberations and decisions at the WHO on the novel coronavirus, had access to all information, and contributed significantly to the world body’s conclusions and recommendations."
So there is no way the WHO would have been able to withhold or delay the release of essential information.