I don't think it will change much. I think for claims that you think are important to determine an objective truth value for (like who the President of the U.S

I don't think it will change much. I think for claims that you think are important to determine an objective truth value for (like who the President of the U.S. is), your determinism mechanism is based on trusting sources you deem reliable and looking for broad agreement among many sources you deem to be independent. You're probably not just looking at a single sourceless video of Ronald Reagan behaving as if he's the president and believing that claim because the video couldn't possibly have been faked. And for other claim that you don't think are important to determine an objective truth value for, I don't think you need very high-fidelity evidence anyway. For example, people have no trouble believing claims that corroborate their closely-held ideologies even with very low-fidelity fraudulent evidence, or even claims made with no attempt whatsoever to provide even fraudulent evidence!