[very quick technical-ish thoughts on a necessary condition] I would guess funding retrospectively today is only useful if you think you're going to increase funding in the future.
The purpose of funding is to enable people to complete projects -- more people are willing to do a project with more funding, and only really rare, super-duper value-aligned people will do a project with very little funding.
Retrospectively funding people that are already doing the project ignores they've already signaled they're the type that is happy to do the project for low funding. But, like you said, such funding also signals to future researchers on the margin that their expected funding is higher than whatever it is right now.
So, it's a way for orgs like OpenPhil to smooth researcher consumption over time if they expect they themselves will be getting richer in the future (and thus be able to increase funding for their projects). Retrospective funding should be set at the transfer required in expectation for the marginal researcher who brings in extra value equal to the cost of retrospective funding (MB = MC)? This argument is in expectation and is likely less effective for more risk-averse people -- if OpenPhil has the money now they should probably just increase upfront funding.
This also relies on other things, like OpenPhil being seen as trustworthy enough to keep up the scheme of retrospective funding, of the signal of retrospective funding being sufficiently public, etc.
(On the run now, but I see people linked some stuff in the comments i'll check out soon. If all of what I said is common knowledge already, sorry!!)
I just quickly wanted to say that this seems related to impact certificates: https://forum.effectivealtruism.org/tag/certificate-of-impact
There have been a few forum posts on this topic, you can just search the forum (or google) for "impact certificate" and will probably find some interesting arguments.
Note that Vitalik Buterin has also recently started promoting related ideas: Retroactive Public Goods Funding
Thanks for linking to that article, which I hadn't seen. I updated the 'certificates of impact' entry with a brief summary of the proposal.
I think the consensus around impact certificates was that they seemed like a good idea and yet the idea never really took off.