Should Big Tech be liable if the concerns about the COVID-19 vaccines turn out to be true?

There are a lot of valid concerns regarding the COVID-19 vaccines that have been rolling out, yet the Big Tech and Social Media companies have been censoring anyone that happens to raise those concerns. Content creators are expected to only promote the mainstream narrative that they are perfectly safe, despite the fact that there are no FDA-approved vaccines to prevent COVID-19 and the ones on the market have not been tested. If it turns out that our concerns are true, should these tech companies be held responsible for keeping this information away from the American people?