organised system of reproduction

Yes, that would be great. People put so much stock in peer review because there is the myth that every statement undergoes under a rigorous process of verification in multiple laboratories. The reality is, as you said, there is a culture of active discouragement of reproduction and the pushing of novel results.

Not to mention that to foster reproductions, researchers should be trained into a culture of replication and collective metanalyses. As it is now, reproductions are less than an afterthought for the vast majority of researchers, and virtually none knows how to handle multiple replicatory studies instead of p-hacking.