It's really true that once you get probability, you see the world, read the news, and solve problems differently. If everyone had a good basis in stats, Vegas would be a Ghost town.

But if you spend time thinking about it, trig likely changed your perception of the world (and history) too. I think most mathematics do that to your brain, by virtue of expanding your internal language.

I can only imagine how crazy these conversations must get for the people actually trying to plan curricula.