Let's hope they will still allow me to use Kagi to search for the product I want to buy.

The official Amazon search is so bad and deliberately pushes "promoted" or overly expensive products to the top that I would say it's only a matter of time until someone reverses the enshittification by building a 3rd party Amazon client. And it looks like that's precisely what Perplexity did here: They offer an agent that works for you, not for Amazon. And, predictably, Amazon hates it. It reduces their power to strong-arm brands into purchasing advertisements for their own product names.