This is more about youtube than google search, but it will be not that different:

https://www.youtube.com/watch?v=r0c1Bph1jrQ

After all, it goes from the top "We're not arguing for censorship, we're arguing just take it off the page. Put it somewhere else. Make it harder to find." - Eric Schmidt

Christina Hoff Sommers, Dave Rubin, Prager University, all of their content is delisted and demonetized on Youtube. Non of them is illegal content.

I don't think google is to blame for this. This is being driven by what google (rightly) thinks advertisers want and advertisers are worried about their brands being associated with this content. Google is just reflecting the values that a lot of people in society hold. Most people aren't comfortable with people expressing opinions different from what they hold and so this is where we end up.

No need to delist it for advertisers benefit. Demonetising it would have worked fine. If you can’t show ads on it what have advertisers got to complain about?

But it's available? Seems like your comparison with Tienanmen Square falls a little flat.

I was pointing out that I am very well aware of the difference between government initiated censorship vs. Google just randomly filtering something that it disagrees with.