A coffee shop is not a bad place to do deep focus work like writing, but you can’t do business calls there. There is too much background noise, the environment isn’t businesslike, you come across as unserious.
I don’t know of any cafes which provide soundproofed phone booths. They wouldn’t make sense, given that the business is really about selling food.
So why not have standalone businesses which provide public phone booths? There would be a glass door. They would be soundproofed. There would be Internet for video calls. The provider would charge by the minute.
What does coworking have over cafes, anyway? Apart from phone booths, how is WeWork really better than Peets?