Other similarities might be market share, i.e. EIC controlled 50% of world trade at its height [1] vs Google's Search being used by 52% of the world in 2019 [2].
That all said, I'm squinting a bit to see this. Unlike Company rule in India [3] where one had little recourse as a subject if the EIC ruled against you; if Google rules against you then you can move to some other provider (of which there are many).
It's still fun to think of these analogies. I was always fascinated by the mega corporation, OCP, in Robocop that sought to privatise large US cities like Detroit [4].
[1] https://en.wikipedia.org/wiki/East_India_Company [2] https://review42.com/resources/google-statistics-and-facts/ [3] https://en.wikipedia.org/wiki/Company_rule_in_India [4] https://robocop.fandom.com/wiki/Omni_Consumer_Products