But I really need it to have one, because it's a key feature of the software I am building.
If there's a more widely accepted term for my version of it - filters with displayed counts - I'd love to know about it.
As it is, most people have never heard the term anyway.
Ironically enough that was through Endeca which was introduced to my company (at great expense) as I was pushing for solr. Eventually solr became the tool of choice because it was more flexible and less cumbersome.
I recently completed an Endeca to Algolia migration. I spent quite a bit of time auditing the Endeca implementation, from the XML files to the Windows desktop application. It was pretty good for its era.
Coincidentally, I now consult for Algolia. :-)
I wrote up some tips/impressions on configuring Algolia for ecomm:
https://www.avikaminetzky.dev/posts/algolia-ecommerce-nextjs