Now that is something I can totally cosign on! I have yet to find a good hamburger in Cumbria. I think they use a different cut of meat than we do in the US. The burgers are just dry and texturally wrong. Not to mention the silly law about not being able to cook a burger at the customer's desired temperature. I prefer medium, not well-done just short of burnt. Now, I pretty much only have burgers if I make them at home.
The best burger I had at a restaurant in the UK was in London. They got it right.
They are usually loaded with filler (wheat) which is why they aren't as good. My husband is Coeliac and was diagnosed 2 days before Christmas one year when my parents were over. My mom kept telling him "just order a burger without the bun" but could NOT compute that they were full of wheat. LOL.
Yeah, some restaurants (specifically burger chains) are now asking how you want it cooked. But I still haven't been asked at a pub.
If you have a Costco near you, definitely get a membership. Or if you are a member in the US, you can use your US membership here. They have these awesome steak burgers in the freezer section. Cook from frozen, no fillers, and sooooo juicy and yummy. Since we found these burgers, we are ALWAYS disappointed by burgers out.