After searching for "pinetime" and then getting an entry for "PingTime" courtesy of Wolfram Alpha, I went to search for a way to disable this integration, because I don't remember enabling it, nor is it particularly useful to me; I find it distracting.
So, I emailed support. They said its not possible and linked to this post telling me to "vote for the feature." What an anti-pattern to introduce (or rather force) a feature, then provide no way to turn said feature off. I'd expect that sort of behavior from big tech. If I wanted a non-deterministic, possibly accurate result, I'd query an LLM myself.
For anyone else encountering this frustration, a simple uBlock filter was enough to fix this annoying Wolfram Alpha slop for me:
kagi.com##.wolfram-full-results
I just expected better from Kagi, is all.