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Some restaurants are really good at it, even chains. If we go to Zizzi, which my youngest especially likes, then you get given a table marker, and all orders from that table are checked by the duty manager, who then makes sure the kitchen staff are aware of the dietary requirements and use a preparation area that's reserved for orders for customers with allergens. So it's possible to do it well.
I'm coeliac, so it's not a severe allergy, but if accidentally ingest gluten then I'll be sick. I have to eat in restaurants, because if I'm travelling with work or entertaining clients then eating out is mandatory.
You can't just ban people from eating out. The catering industry needs to understand that this is an issue that they have to work with, and ensure that they have policies in place to deal with it and ensure staff are trained properly. If they won't, then legislation should be the next step.