At some point, we start 'socialising' our children so that they can interact with other people, and become 'civilised'.
Encouraging a child to shriek and scream in an environment where adults are expecting to have a meal and good conversation indicates a lack of maturity on the part of the father.
There are plenty of ways to interact with children - they are very receptive if you give them your attention.
We used to take my then 4-year old to various restaurants and we chatted to him about the food, its preparation - what he liked (or didn't), what he'd like to do when he 'grew up' and, more immediately, what he'd like to do the next day. We talked to him and listened to his replies. Most children will respond to that. If they're very young you might need to entertain them rather than 'chat'... and that can be more problematic. Having said that, when he was 2 we took him for his first pub lunch, and he just sat for the whole 45 or so minutes (we made it a quick visit) with wide eyes and open mouth staring at everything and everyone and watching the waiters come and go... he'd never sat in a room eating with so many people before, and was agog with the novelty of it. And then his eyes closed and he fell asleep, and we left... before he woke up and got 'cranky', which would have been irritating to the other customers.