US agencies disagree about whether they believe that SARS-CoV-2 spread from animals or leaked from a lab.

I don't think it makes much difference.

It is agreed that deadly viruses can spread from animals; we should take stricter precautions to ensure that does not happen.

Since it is agreed that deadly viruses can leak from labs doing research on them, then we should take stricter precautions to ensure that does not happen.

Which of the two happened this time changes nothing.