As best I can tell, right now Kagi doesn't pull information from Wikidata for infobox cards. It seems to mostly have the same cards as Google/Bing.
However, it would be quite nice if you could pull from Wikidata.
For example searching for Flora Wylie Park doesn't have an infobox with location, socials, etc.
However, it could have some of that info if it pulled from Wikidata.
So, generally curious, how do you think about pulling from Wikidata?