Doesn't seem like a productive battle. It's only upsides for stores that roll out facial recognition. If you want this stopped you will need legislation.
"Last week, however, after Reuters sent its findings to the retailer, Rite Aid said it had quit using its facial recognition software."
Though likely because of the higher use in low income neighborhoods than facial recognition overall.
We absolutely need legislation to permanently stop this. The free market is not going to magically pop up a competing brick and mortar that doesn't spy on us and/or sell/give our data to other corporations/governments.
It would be much more ethical to personally stop going to the store and giving them business if you object (which is a valid opinion, imo). Encouraging others to do the same, spreading news about the practice, etc, all seems good. But once you start calling for people with guns to coerce the property owners you're doing something unethical.