Kagi autocomplete/suggestions aren't quite as quick or accurate as Google. This does not seem to depend on device or browser. I use both Chrome on Windows and Firefox on Arch - always the latest versions. Both are connected over excellent Wi-Fi connections. Note that I'm typing in the URL bar.
Suggestions do work and are very fast, but the split second longer that Kagi takes compared to Google to suggest new options after changing search text definitely bothers me.
I've noticed that Kagi tends more to suggest the next one or two words rather than filling out a more full common query. This bothers me even more than the delay, because I depend on suggestions to direct me to the appropriate common issues when I'm debugging or trying to fix issues with my Arch install.
I expect Kagi to give me fast, accurate suggestions to direct me both to the specific searches I'm trying to make and to common searches related to what I'm typing in. If possible, it would be nice to be able to change the search engine for suggestions back to Google, so I can get the quality, fast suggestions I'm used to from Google while getting the excellent results that Kagi gives me when I hit enter.