We had one. It used to be a normal cafe but changed to be a “quiet space”, no children, no animals, no phone calls. They changed all their marketing to be about how peaceful it was.
It lasted four months and then changed back. Then three months after that, it closed entirely, probably because people with children, dogs etc didn’t feel overly welcome back, or had made plans to go elsewhere.
I have two children, thankfully none have ever been hugely noisy and I’d remove them if they were being so, but the cafes in town have definitely benefited from their existence. They’ve made a killing from us on maternity leave, and after, meeting other mums, going out for lunch, etc. it’s a big financial hole that isn’t easily filled by the type of people who want to sit with a hot drink and a book or whatever - the spend per customer is much lower even if they opt for cake too.
Ours even tried a “one drink, one hour” type policy but that left everyone a bit uncomfortable, the staff don’t want to be hounding people to reorder, regardless of how nicely they dress it up.
The owner is lovely and has been really transparent but it’s not an easy business model.