10-20× more in private sector for senior leadership/advisory role sounds reasonable, but still, I wonder if some part of that compensation stems from the fact that the person is availing him/herself as an asset of influence, i.e. can be used to push narrative through media while posing as independent, credible expert. Needs further research and/or A/B testing I guess.
Well yeah when you hire at a senior level it goes unsaid that you're partially hiring for that persons influence. The labour value alone would not reflect such a high price.