Yes, the biomedical state exists. Yes, its players are part of a global public health regime. Yes, it is controlled by national governments, research institutes, and domestic public health authorities, but it will be publicly led by the WHO. A new international pandemic agreement is still in the works. 

The WHO will appear to transition from an advisory body to the directing mind and will of global health, even though certain national governments will be pulling the strings. The WHO will have authority to declare public health emergencies on loose criteria. National and local governments will undertake to do as the WHO directs. They will make private citizens and domestic businesses comply too. Lockdowns, quarantine, vaccines, travel restrictions, surveillance, data collection, and more will be on the table.

Yes, governments are still ultimately in control in their own countries or states/provinces. But many want the WHO to be the face of pandemic response.