They are indeed very active in removing ideas and opinions which are deemed unsavory. A recent example in from our neighbour country, Sweden.
"Google is facing criticism in Sweden for its failure to prevent anti-Semitic material from topping searches featuring the term “Jews in Sweden.”" https://www.timesofisrael.com/swedish-jews-complain-google-s...
"Journalist Willy Silberstein, editor-in-chief Helle Klein and former TV4 CEO Jan Scherman are some Swedish Jews who are on an anti-Semitic list online. Their legal representative has reported the list to Google for more than a month that it should not appear in search results by their name. Only now – after Expressen and DN's audits – Google starts backing and promises to remove 24 people from the list from their search results." https://tech2.org/sweden/google-starts-backing-after-critici...
I think the above serves well to illustrate the issue of weaponizing the web. The nazis are using the web as a weapon to list celebrity jews. The jews on the list are using the web as a weapon to wield power over Google's decisions and actions. Google is the weapon used by all the groups involved.