No, you are very incorrect here. I am sorry to say that you fell for some spicy headlines, and there is no evidence to suggest TCI's letter had anything to do with this restructing.

TCI has a trivial stake in Google — at most, less than half of one percent of the company[0]. By voting shares, Larry and Sergey alone control >50% voting power[1]. TCI has nowhere near enough influence to move the needle in any appreciable way here.

[0] $6B / $1200B market cap (edit: to clarify, this is an upper limit, in practice it's even less because of super-voting shares owned by the founders)

[1] https://capital.com/alphabet-shareholder-who-owns-most-googl