I doubt there's going to be much that isn't GIGO until we have widespread antibody tests, and by the time we have those most people won't care enough to take them.
That being said, I think it's important to keep in mind that even we're in a situation where 'experts' are being put on the spot to make predictions and give information with incomplete data and a rapidly changing situation. If they say 'Well, not sure' people will just move on to the next 'expert' that will give an actual prediction or a soundbite worthy proclamation. They might equivocate a bit after giving it but of course people won't listen to that. My biggest concern about this whole thing is when it's over we're going to have a tough time getting people to take the next one seriously.
"All models are wrong, but some are useful."
George Edward Pelham Box