False on both counts. I can see a pub with a brewery attached getting charged Duty directly. Otherwise, it's factored into the price paid by the pub (or by us at the supermarket).
I can see the difference if you are talking about certain foodstuffs, but that's pretty niche. A pub doesn't sell any food, it provides a service of catering (as does a restaurant). That is why all such polaces charge VAT on meals etc. That's nothing to do with beverages though. I( recall the furore when VAT was put on takeaway food (as a service of catering).