This seems to be a Google-specific problem.
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Example that I just double-checked: (I don't claim any political views here; JUST an example)
Reddit's largest subreddit for a political candidate is r/The_Donald. Objectively, a rather popular site.
Google (with or without SafeSearch) returns zero results for "Reddit The_Donald" linking to the subreddit. [1] It's only results are indirect discussions about the subreddit.
Whereas DuckDuckGo, Bing, and Yahoo show the subreddit itself as the very first result. [2] [3] [4] (https://np.reddit.com/r/The_Donald/ which is Reddit's public non-logged in site.)
So Google won't display a high-traffic site. I can only assume they find the content objectionable and so will not link directly to it. I understand how some may want that, but that's not a simply not a service I want my search engine to perform, especially when SafeSearch is disabled.
[1] https://www.google.com/search?q=Reddit+The_Donald
[2] https://duckduckgo.com/?q=Reddit+The_Donald
Example:
r/ChapoTrapHouse is a left-leaning political subreddit (and in the interest of true apples-to-apples comparison, also has a content warning by Reddit like the earlier example).
"Reddit ChapoTrapHouse" has top results for www. or np. from all search engines.
* Google: https://www.reddit.com/r/ChapoTrapHouse/ [1]
* DuckDuckGo: https://np.reddit.com/r/ChapoTrapHouse/ [2]
* Bing: https://np.reddit.com/r/ChapoTrapHouse/ [3]
* Yahoo: https://np.reddit.com/r/ChapoTrapHouse/ [4]
[1] https://www.google.com/search?q=Reddit+ChapoTrapHouse
[2] https://duckduckgo.com/?q=Reddit+ChapoTrapHouse
[3] https://www.bing.com/search?q=Reddit+ChapoTrapHouse
[4] https://search.yahoo.com/search?p=Reddit+ChapoTrapHouse
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I'd love a simpler explanation than "Google being politically biased Big Brother", but I can't see one.
np.reddit.com stands for "no participation". np.reddit.com disables comment and voting. It's intended so that links to niche subreddits from popular subreddits like /r/BestOf don't result in a flood of outsider activity that disrupts the niche subreddit.
Somehow moderators decided to start using it for "no participation", and many subreddits use custom CSS to disable commenting and voting on np.reddit.com/r/whatever. But np.reddit.com with custom styles off works just like normal reddit.
I'm sure Nepal is very offended.
(https://www.google.com/search?q=Reddit+The_Donald)
Whether or not you are logged into Reddit, the first page of Google results (and I suspect the rest of them) don't display the actual link to the /r/The_Donald subreddit. It _does_ link to a bunch of articles about how the sub was quarantined, and the first result (for me) is a wikipedia page.
If you search "news" on Google, the 2nd result is Fox News[1] (first being Google News). Half the suggested articles by Google on my phone are from Fox News, even though I've never clicked on any article from there. I do not use that to conclude that Google is politically biased.
Also, np.reddit.com seems to be excluded from all search engines: https://np.reddit.com/robots.txt.
I'm not sure why Bing is ignoring both the robots.txt and the "noindex" metatag.
Google indexes it perfectly. [2]
It can get pretty frustrating to rank #1 or #2 for a query, and not rank at all for a slightly different, higher-traffic query, like using the plural, a hyphen, different capitalization, or an article.
Google's bias has gotten especially noticeable this past year.
Makes you think why they present Google as compromising your privacy, but they're dead-silent when it comes to Microsoft. Or Yandex, their other search partner.
It's not about search engines seeing search requests, it's about tying them to particular people.
It really boils down to this: Can you trust a small company that chooses to grow via smearing campaigns, provides sub-par results, and _claims_ that it protects your data while sometimes feeding your queries off-shore, or the tech leader that tells you exactly what it knows about you, allows you to search privately and is widely believed to be the best search offering ?
However, I will say that I don't see a hell of a lot of point in playing more-contrarian-than-thou on this topic. If DDG put its entire staff onto full time evil, they still could not, in my personal opinion, match Google. Contrarianess may feel good and be fun in internet posts, but it's no way to actually make decisions.
But don't let facts get in the way of your "makes you think" theories.
10 first links from Bing:
1 https://en.wikipedia.org/wiki/Diffeomorphism
2 mathworld.wolfram.com/Diffeomorphism.html
3 https://encyclopedia2.thefreedictionary.com/diffeomorphism
4 https://math.stackexchange.com/questions/301364/what-is-a-di...
5 https://www.encyclopediaofmath.org/index.php/Diffeomorphism
6 https://dictionary.cambridge.org/dictionary/english/diffeomo...
7 https://en.wikipedia.org/wiki/Diffeomorphism_invariance
(8) dictionary.sensagent.com/Diffeomorphism/en-en
9 https://en.wikipedia.org/wiki/Local_diffeomorphism
(10) https://ipfs.io/.../wiki/Diffeomorphism.html
10 first links from ddg:
1 https://en.wikipedia.org/wiki/Diffeomorphism
2 mathworld.wolfram.com/Diffeomorphism.html
3 https://math.stackexchange.com/questions/301364/what-is-a-di...
4 https://www.encyclopediaofmath.org/index.php/Diffeomorphism
5 https://dictionary.cambridge.org/dictionary/english/diffeomo...
6 https://encyclopedia2.thefreedictionary.com/diffeomorphism
7 https://en.wikipedia.org/wiki/Local_diffeomorphism
8 https://en.wikipedia.org/wiki/Diffeomorphism_invariance
(9) https://math.stackexchange.com/questions/760433/prove-that-f...
So if it's a query with a lot of temporal churn in the results, it's easy to be confused.