Something that takes only authors, publishers, and institutions into account sounds counterproductive.
I think it’d be better to have an agreement that only reporducible papers are credible. Ie data the paper is reported on (to include “cleaned” data) and any tools developed (software tools) must always be included. As well as funding for everything disclosed.
Ultimately though I think we may just be seeing the obsolescence of current statistical theory. Science needs hypotheses to be testable in “trustable” metrics. But there are too many loop holes if things like p-hacking are possible.