A few thoughts, in no particular order:

Frankly I would not really trust them to honor an off switch, would you? After all, they nessacarally collect all the purchases history in order to serve you.

It's likely that if they chose to do so they could generate that page dynamically as you were shopping and do the same with the recommendations derived from it. Though I would imagine a speed penalty would be involved, which would be annoying.

I've definitely enjoyed some of those lists of recommendations. For instance, just a few days ago I kind of stumbled into what was clearly a list of recommendations for people into peptides and brain "hacking." I bought a fancy label maker (NIIMBOT B2), and all of the suggestions were fancy containers to store your peptide vials... I'm diabetic, so I picked up some cool silicone vial caps and a few other things I probably wouldn't have been aware of.

I imagine, with a fair amount of effort one could create new accounts every few weeks, the way some people here seem to. Get PO Boxes in different places, use several different payment options, maybe privacy.com, gift cards, etc. Kind of compartment your interests. I certainly don't have the time... but it seems possible.