I wish there was a way to get rid of all sellers from results. Of late I have had to dig 2-3 pages in to get to anything which wasn't an online store.

There is, use a different search engine. I've even found something as new as Andisearch good for finding research papers and Qwant good for general searching. There are many more and they keep up with Google pretty well now without the trash.

What is a common query? facebook.com? Some very impressive search capabilities needed for that query there.

More than a decade ago, Google had some special-case logic for these "navigational queries". Lee Kai-Fu (head of Google China at the time) said that navigational queries were particularly prevalent in Chinese search traffic.

Though, there's also a use case for people trying to find third-party information about various websites, particularly in trying to figure out if the website itself is a scam. You really want to have the navigational result up at the top unless you have a very high degree of confidence that the site is a scam, but in all cases you want high quality reviews of the site to follow up the navigational link.

Probably something like: "food delivery near me"