I agree whole-heartedly. As someone who needed to learn the hard way that knowing the shortcut doesn’t always help with the work, I’m very much in favor of teaching kids the proper way first.

Also, if kids need to be “fact-checking” their class, that’s indicative of a whole different issue.
Because I don’t think most kids have learnt even the smallest bit about proper research methodology to be able to fact-check things. If that little bit they know is enough to disprove something in class, that teacher needs a stern talking to about the bs they peddle.