I studied statistics - my point was that statistics is taught in a linear manner, starting with distributions and hypothesis testing (p-values) and then move onto more advanced treatments like Bayesian stats.
And then there's this, that even if your intro to probability course everywhere covers the classic statistics with p-values and hypothesis testing and frequentist confidence intervals and so on, you are not necessarily going to use them that much. I calculated some p-values and other tests with R for some example datasets a couple of years ago and never seen them since in coursework, everything we've done after that has been more or less fully Bayesian. The concepts are still fresh[1] in my mind mostly because I read some statistics blogs, such as Andrew Gelman's [2]. The irony is that Gelman does not exactly love frequentist framework, he just mentions its concepts often enough.
[1] or not totally forgotten