Vlad This is not how autocomplete works. It is a statistical tool that uses previous searches as a guide. If nobody is searching for a particular phrase, it will not show up in autocomplete.
While you are, of course, correct. This one is a little different. Google has been observed de-ranking political content from "non-legit" sources - which was confirmed with the last Google search leak - they have been confirmed flagging political and COVID related content. This has been reported by a couple of news organizations (not just Fox News). I know for a fact that "assassination attempt of tr" used to complete as "assassination attempt of trump" on the day of the attack - but a week afterwards, that auto-compilation disappeared. It also doesn't help that Meta's AI-moderator flagged this topic as "fake".
So I think this is more of a "Is Kagi adopting the same bias as Google?" - at least in a "direct" perspective (of course, if this bias is truly from Google's index, there's nothing that Kagi can do except bias the other direction, a slippery slope).
There are concerns around a pattern of coercion-like-behavior from the executive branch onto tech companies in recent times, behind closed-doors, without court oversight -
One of the reasons I started using Kagi was that I noticed multiple cases of odd search index manipulations from Google and Bing - and now DuckDuckGo. It's weird when a search query returns no results from the major search engines, overnight - with complete confusion from the site owners. It's almost like there's some secret blacklist that some queries accidentally get added to (possible conspiracy theory). What's also odd, it appears the results are commonly Geo-localized (switching regions magically makes these queries work).