Closest thing I know is companies who sell "foot traffic" data, of who walks in front of your store. But that's done with phones pinging wifi networks passively as you walk, not anything as fancy as facial recognition.
Facial recognition has been deployed to combat shoplifting [1][2]. Amazon Go is a store built around not needing to check out at a register at all. Microsoft offers Azure Kinect [3] as a way for retailers to track people moving through a store. There's no shortage of companies purporting to use AI to analyze in-store video in real-time to analyze customer behavior [4][5]. There was a video shared on this site a few weeks back showing a coffee shop tracking both customers and baristas [6] (more discussion there, including some skepticism).
I'm speculating that if they can track you in the store and build a profile on you that they'll be able to track your cash purchases. I don't think it's a terribly large leap to tie into their point of sale terminals but I don't know if any retailer is currently doing that or even planning to do that.
[1] -- https://youtu.be/g5Xf9Y6-RS4?si=De7EZTyVD66BQPeG
[2] -- https://www.nytimes.com/2023/06/28/technology/facial- recognition-shoplifters-britain.html
[3] -- https://azure.microsoft.com/en-us/products/kinect-dk/
[4] -- https://viso.ai/features/
[5] -- https://twitter.com/jowyang/status/1214657642313871360
https://www.abc.net.au/news/2022-07-13/bunnings-kmart-invest...