This is conflicting, on one hand it's certainty within the right of a store to bar people who shoplift, it's really an imperative to do so. The petty crime issue the retailers here are trying to counter is a real one. But this application it feels like falling down an increasingly slippery slope. Sure, today, it's just "send an alert and the store can do what it wants" but how long until that transforms into a de fac…
The facial recognition stuff is the digital equivalent of vigilante justice. The best way to stop vigilante justice of any kind is to have Police do their jobs.