This isn't true for my local (non-US) version of Google Search, but I have no reason to doubt that it is real and deliberate. The magnitude, sophistication, and sheer audacity of mass manipulation by tech giants nowadays dwarfs anything seen under the so-called "authoritarian" regimes of the 20th century.
"President Trump", "Donald Trump" complete normally, and suggest "45th US President".
I think it had something to do with the recent attempted assassination. I tried a few related phrases and it won't complete. This is a reasonable censorship (though I don't agree with).
There are plenty of quirks. Like "president joe biden" only completes "~ expressway", which is hardly a popular topic, while many previous presidents have a long list of relevant things.
I can't reproduce this. In fact, when I type "Don" Google suggests "Donald Trump 45th U.S. President."
If there was some kind of filtering happening, I was going to guess it had something to do with all the recent attention to the search history of the Pennsylvania shooter. But now it seems like even if there was some kind of filtering happening, it's since been deactivated.
Ironically, Elon Musk retweeted a deepfake Friday of Donald Trump's political opponent...
Not buying it.