One angle that I think is worth exploring is the funding bodies putting requirements in place around publishing data (and the quality of that data) as a conditi

One angle that I think is worth exploring is the funding bodies putting requirements in place around publishing data (and the quality of that data) as a condition around funding. If NIST required that you publish the data (say within N years to cover the concern about getting scooped on follow-up papers), and dinged you on future funding applications if you didn't meet their quality/reproducibility metrics, perhaps that would help to align incentives. This is the same sort of idea as requiring research from public funding to be put in open-access journals so that the public can benefit from it.