Medical research in particular seems to suffer a lot from papers where something has been measured with no supporting theory whatsoever and consequently no real information other than "If you do what we did you probably get the same result". Rather unsurprisingly this is hard to replicate because there's no theory telling you what is and isn't relevant to replicate.
I'm not saying this is easy to fix, but maybe we should focus more effort on papers that expand the theory, rather than papers that at best show that something might be the case but we don't know why.
It does not make sense to act like small studies are proof of anything the way people like to use those studies on the internet. It is wrong that researchers are effectively punished for reproduction, verification etc. But the existence of small data collection studies on itself is not wrong.