There's no current plan to change HN Search though I wouldn't rule it out. PG often used to integrate recent YC startups into HN in various ways (search as detailed by the OP, but also an SSO startup at one point, a carbon-reduction startup, I forget what else) as a way of giving them a boost and I could imagine us doing that again. (side note: I guess the mental model in my head is that earlier-stage startups are more closely bonded to YC and that as they succeed and expand, there's certainly still a friendly connection but the attachment becomes a bit weaker. For startups that have been around 10+ years, for example, I'm not sure it still makes sense to have frontpage job ads on HN.)
The change I'd really like to make to HN Search is to bring the front-end part of it into the HN codebase so the search results can be 'real' HN pages*. It's never been a priority to implement that though, and the Algolia system has been fabulous for a long time.
* Funnily enough, I made almost the same point using my pre-dang account back when Algolia was just getting started: https://news.ycombinator.com/item?id=7126635. Credit to pvg, who misses nothing, for spotting this. The reply was from Algolia cofounder ndessaigne who is now a group partner at YC! He was good on his word, btw.