If my home security system tells me that it heard broken glass, I want to know now, not in thirty minutes. If my kid needs to be picked up from school, I want to know now. If my spouse's employer calls to tell me they've been sent to the hospital, I want to know now. Anyone with a job that requires them to be reachable for emergencies (like an emergency responder on their lunch break) cannot attend this cafe. In today's society, it's a luxury to have no responsibilities to anyone such that you aren't reachable for hours at a time.
It's wild to think of a place that would be exclusionary of parents, caregivers, partners, and more simply because of an absolutist policy. And you've got to be carrying cash. And of course, there's no ATM because that would have a screen. For a huge swath of the population, this is simply a non-starter.