This. My two biggest takeaways from years of stats classes were that, when applied right, you can do some really fascinating things with statistics. And that no one ever applies things right, so take any stats you come across with a grain of salt.
After years of professional experience, those are still the two biggest takeaways from stats. The only thing that's been added to the list is the fact that more often than not, statistics/data science is just a political tool to justify budget increases and absolve decision makers of culpability.
