> Presumably, there's a step in this process where money incentivizes the opposite of my suggestion, and I'm not familiar with the process to know which.

> Is it the university itself which will be starved of resources if it's not pumping out novel (yet unreproducible) research?

Researchers apply for grants to fund their research, the university is generally not paying for it and instead they receive a cut of the grant money if it is awarded (IE. The grant covers the costs to the university for providing the facilities to do the research). If a researcher could get funding to reproduce a result then they could absolutely do it, but that's not what funds are usually being handed out for.