That makes sense. I think you should tune your product management strategy for your audience.
Still think there's value in having an open roadmap and feature list that customers and users can submit too, regardless of industry. I wouldn't recommend you use GitHub, though :).
The best metric would likely be one that reflects closely the actual power distribution at a company. That makes the answer difficult, but it also makes me more interested in the idea of what would be a best fit.
As for my first attempt to guess the power structure: vote = 1 + sum(direct_reports.vote)
It really depends on what your priorities are, its a key driver in defining the culture.. who do you listen to when considereing tranformation / change?
You could have a suite i guess.. maybe look for overlap?
Satisfaction? Vote = vote * staff turnover for voters role.
Greed? Vote = vote * voters team profit
Top down control? Vote = vote * voters grade
Reverse disfunction? Vote = vote * number of complaints raised by voter
Cross functional impact: vote = vote * num departments voting for this
My question marks reflect i have no idea what the real optimisation is when you select a defined metric / score.
In reality (as someone who wants to make things hollisticially better in a sustainable way) i look for the overlap of several things:
Who do people have on speed dial to fix issues? Will this reduce how many calls they get? Ignoring what official processes say.
Will this impact the bottom line?
Will it increase customer satisfaction?
What will be the impact on staff turnover? I prefer to reduce this but at least there needs to be a mitigation if its negative. Key questions are: will people better understand personal their impact on
Cost and quality? Will this make success and failure clearer outcomes for the individual?
Then finally will this be a step towards or away from governance principals of org? E.g. does this cause party A to have needless influence or judgement over party B (at all levels).. basically will this enable individual agency at all levels.
I always justify it on paper in terms of governace efficiency/efficacy, profit and quality.