Sure, if data from US would be enough to understand and fight disease. Otherwise, you need to create some sort of world health organization to share meaningful data and investigate inside all country participant without the appearance of [or actual] invasion of sovereignty.
Thus, we have the WHO. You wanna replace it, it's gonna take a decade to get to another agreement if one even is made. Then it will have its own set of issues. During a pandemic, seems better to me to work with and hold accountable the one we have... kinda like the WH is doing today.