I'm with you as far as generic categories go. Going to the cheese and dairy section in a supermarket is very similar to going to the Amazon cheese and dairy (and eggs) section[1].
Stores maximizing the revenue they receive from their average customer, which they do quite aggressively as you note, feels very different from what Amazon is doing.
>the store has arranged their aisle in such a way that influences which chips you buy, just as Amazon arranges their search results page.
To make a somewhat silly comparison that illustrates how this is is not "just" like Amazon - I have never been in a grocery store that places their brand of chips on both ends of the chips aisle. I might find my chips before I see their brand. Amazon, on the other hand, can rearrange their shelves for every customer, and so their ability to manipulate the consumer experience is much greater.
Ultimately the arranging of physical displays, no matter the amount of zeal or data involved, seems categorically different to me than stores which can arranged differently not only for every customer, but every customer request. I think you're saying they're basically the same thing - in which case we'll just have to agree to disagree.
[1] https://www.amazon.com/s/ref=lp_16310101_nr_n_6?fst=as%3Aoff...