In my mind the goal is not really different from that of other sites, at least not from that of other established sites with science or technical content. I share many points of view expressed in the linked post.
The global goal of the HNQ seems to me to offer:
- "the best posts of the network that are of interest to a wider population than only experts on that subject" (Mad Scientist)
- "quick - and ideally informative - diversion" (Shog9)
Upsides of having this is that it is something some readers find nice to have, it maintains some bond over the network as a whole and increases discoverability of (new) sites.
The two goals at least in abstract to me seem not overly controversial (but maybe giving this answer will prove me wrong), and we should strive to offer posts to the HNQ that are in line with these goals.
What might cause friction in practice is that they are subjective, and thus there might be disagreement on which of this site's posts best contribute to achieving these goals.