Despite being very Scottish, Edinburgh is a very international city. The street is full of tourists from all over the world and you hear a a chorus of differant languages. Walking Hadrian's Wall we met Australians, Germans, Dutch, a Finnish couple, plenty of Brits. We were the only Canadians we came across and we one person in our group was from New York City.
The Lake District must be where the English come on vacation. You do hear the occasional accent but, it is fairly rare.
So Keswick is a very English town. Last night as we walked to dinner the locals we lining up for their fish & chip take away.