No doubt you can point to some Amazon PR to prove it. In reality, they're one and Bezos has done whatever he wanted till now (how many years was AMZN losing money to expand???).
You can also say "Here's an WP article slamming Amazon," but maybe the old WP would have written 5 such articles. I have no doubt that self-censorship goes on at WP just as it went with NBC /GE /Comcast and so on. They know who owns the paper and if someone has to remind them, it will be done.
Of course, you can be independent and think, but....
The action was against an organization that Google was doing business with because the arrangement no longer made sense for Google. A think tank and a newspaper are not the same thing. There is no expectation of integrity from a think tank.
The original comparison suggests Amazon is abusing influence to control the narrative at WaPo in the absence of any evidence of such abuse.
That guy is using outrage as marketing vehicle to raise funds and awareness for his (now "independent") think tank. It'll be interesting to see who's funding his work in a year or so.
[0] https://www.nytimes.com/2017/08/30/us/politics/eric-schmidt-...