The second link is this one: https://community.home-assistant.io/t/guide-how-to-install-h...
But the linked page is pretty complex.
If someone can come up with a reason why top results aren't even present on others' page 1, I would be very interested.
My specific question is why would a top result not even end up on the first page. This requires a more significant explanation than "its possible".
You answered yourself. If you are are searching zoos and cute animals more often than programming stuff, "python egg" will return dramatically different results. This is not a theoretic possibility, it is the way google works (which I think is unfortunate).
They don't personalize search results: they don't give people results which are optimal for the searcher, but rather those which attempt to be optimal for the advertisers without discouraging the searcher enough to swap search engines.