Now, obviously that skepticism can be misused by some rando with no qualifications or even time spent researching telling you to be "skeptical" of people who have spent decades trying to figure shit out. What I really believe we should be teaching people is "what are the incentives?". That is, it's become very clear that many people are susceptible to provably false information, so we should train people to try to examine what incentives someone has for speaking out in the first place (and that includes scientists, too).
This is why I hate most conspiracy theories - even if you take everything the conspiracy supposes at face value, conspiracists don't explain how their conspiracy is somehow kept so secret when tons of people involved would have extremely strong incentives to expose it.