In particular, page based pagination requires a permanent set of elements that are sortable.
Sortable, indeed, you sort based on a scoring mechanism.
Permanent, nopes. If you save page 4 of search page and take a look at it next week, it might be different.
If pagiantion should be properly implemented in a search engine it would be like in elasticsearch where it is transaction and cursor based. But hey, carrying around millions of open transactions is not feasible.
So it seems to be a fair trade off to make an infinity scroll like feature for this.
But again, please enlighten me. I am curious.
For example, this morning, I was looking up micro fans for embedded electronic devices, and did find some good results on the second and third pages. Not exactly what I was looking for, but close enough that it was worth digging in to the results.
I won't use any website that has such poor judgement in website design.