I think the sticking point is this: if people can’t reproduce it then you missed writing down an important detail and therefore didn’t finish step 3.
The elitism is thinking peer review suffices for reproducibility.
I agree with you last point, and I really, really want to with the first.
Sometimes science feels more like an art, for chemistry at least. I suppose the counter-point to this is: if you provide sufficient detail to reproduce but your results are still difficult to reproduce reliably by others, then your process wasn’t very robust and should have undergone more development before publishing. Those details may be so minor that you don’t even realize that you overlooked something.
I mean that makes sense. I guess it would be fairer to say that enough should be written down its still usable in tracking down what is missing.