There was a fascinating report last year suggesting that above-quality docs correlate with increased eng productivity across the board. My intuition says it's true but IMO we need to do more work proving that this connection is legit... the methodology and report writing itself is too complex: https://cloud.google.com/blog/products/devops-sre/deep-dive-...
I've often found that unsolicited customer sentiment is a hit, especially for customers won over from a competitor who either call the docs and self-service options a reason for switching or winning, or immediately call them out positively after switching.
Lobbying like you've done with this essay is a probably a better investment of your time. Now you simply have to make sure the right people read it and decide to do it :)
For example, if you have a developer tool, the number of devs you can successfully onboard after you have solid documentation up and running is an effective strategy for getting unimaginative middle managers to understand the value.
Generally the people I work with have already come to the right conclusion because they have tried everything else and not gained the traction they believe their product deserves.
The foregoing assumes the alternatives are having docs or not. If the alternatives are something else, such as having different kinds of documentation, then the test treatments will be chosen accordingly.
You might like to read https://hubbardresearch.com/publications/how-to-measure-anyt...
Just once I'd like to see the burden put on decision makers to understand the needs of the business they run instead of having to make pretty decks they can pick over once a quarter when trying to figure out what line items to justify cutting to get a better bonus.
You could use them to raise awareness in your organization.