I still believe it would have. The information regarding COVID-19 has been evolving since the beginning, 24/7 which has lead to the "truth" changing repeatedly. Also, Trump has huge support from his business buddies, including Big Pharma so I would have to assume they would have either protected him or they would have warned him.
If your implication is that the media and the science community conspired to make the president look stupid, I think you've got a big hill to climb to prove that.