As the title says, after testing Kagi assistant on multiple browsers, I notice that Kagi assistant has a longer load up time, which do make things slightly annoying. The textbox loads up with everything else, which might be the cause of the problem.
If you observe the loading of gemini.google.com, you might notice that the textbox is always load up blastingly fast first before anything else is loaded. This should be considered as a good design and I do wish Kagi will follow this.