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...