I think it was even slightly worse. The White House was effectively delegating the decision of who to ban/police to the NIH/NIAID, an organization that was funding novel coronavirus research in Wuhan.
It's easy to see how at minimum there could be a conflict of interest.
Both administrations (Trump 2016 + Biden) adopted the guidance of Fauci and others at the NIH/NIAID more or less directly. So the guidance came through the administrations but originated with the NIH/NIAID.
You had direct statements like this from scientific experts, those experts turned out to be the middleman group that was funding Wuhan via NIH grants.
Peter Daszak, a zoologist and president of the EcoHealth Alliance, who has been among the most vocal critics of the idea of a lab leak, wrote, “I just wanted to say a personal thank you on behalf of our staff and collaborators, for publicly standing up and stating that the scientific evidence supports a natural origin for COVID-19 from a bat-to-human spillover, not a lab release from the Wuhan Institute of Virology.”
Given an expert statement like that, youtube can and did take down lableak videos because they were misinformation (contrary to the information provided by the experts).
It's easy to see how at minimum there could be a conflict of interest.