No, because there's some margin of people who won't be convinced no matter what. If you've failed to persuade that 2% (or whatever the floor might be) then there's no need to discuss further--those 2% are inconsequential. But if you're at double-digit percentages you can be sure that you're not near the floor.

Moreover, it's not just about the media's coverage of COVID or the moon landing, but about their overall credibility during the prior decade. For example, the media has reliably and brazenly lied and mislead on racial justice protests from ~2014 through 2020, which almost certainly affects its credibility on other issues (e.g., covid). Of course, the same applies to the academy and other institutions.

Moon landing deniers won't read, nevermind believe, legitimate scientific journal investigations. What's needed is Buzzfeed-esque, at that level of writing, top ten reasons why moon landing hoaxers are wrong.