As another chemist (although I went into IT in the late nineties), I’d argue that we don’t do a very good job teaching how science actually works anywhere. It’s particularly bad in fields like medicine and engineering, though, where you learn lots of things about the results of science.
Not coincidentally, that’s where a lot of cranks come from. I can think of lots of creationists back in the day who were engineers (and the occasional doctor).
To be fair, medical school is tough enough as it is. So while I think society would benefit from teaching doctors more about how science works, I unfortunately do understand why we don’t really do it.