As I recall, the main issue with that was that because it used facial recognition, the labor burden of enforcing that was
significantly lower. If its just human beings looking at every visitor and trying to decide if they match a description, the venue has to decide "has this person done anything so egregious that all this extra effort is worth it?" which makes the tactic self-limiting.
With facial recognition, enforcing a trespass order becomes nearly zero cost, so it can be applied for basically any reason. I can sort of get to understanding the tactic for "this lawyer is actively suing us", but if its "this person said something mean about us online, and we can get a facial recognition match from their profile picture", it seems like a wild abuse.
Which is why that whole Radio City Music Hall situation was such a good illustration of the actual harm of facial recognition systems. If a potentially bad action is only kept "good" because the high cost (in labor or lucre) causes discernment in its application, then removing the cost will necessarily remove the discernment, almost guaranteeing bad actions.
Business owners should have the right to bar someone from the premises, and legal recourses to enforce that right. But enforcing that right should be sufficiently cost prohibitive that enforcing that right does not grant the business outsized power to limit the public's rights to e.g. express negative opinions of that business.