I agree with you but there are levels of purchase. This article explains it well https://a16z.com/ai-x-commerce/

Let's say even if I always buy "Deodorant X", I might instruct my agent every month to go out and buy it from the cheapest place. So I wouldn't do it for "any chairs" but the usual purchase from a certain brand, I can see myself automating this. In fact, I have because I use Subscribe & Save from Amazon, but sometimes things are cheaper on the brand's website or some other marketplace.

The issue of course is that true-deodorant-x.com is not a trustworthy website and will sell you knock-offs, "Deodorant X-Killer-Y" is a separate brand that LLMs might mistake for Deodorant X upon purchase, and Amazon mixes the supply of Deodorant X with fake products anyway.

You're basically rolling the dice with every single refill.