they miss that particular kind of "English" food
We do import such things into our culture. Language and food are the things we borrow best from other cultures, so I for one am hoping a couple of Polish things become naturalised in these isles.
What is British food? It was something over 100 years ago, but for some reason traditional cuisine disappeared. Various things have been blamed, including WWI, WWII, rationing in the 1950s. These things didn't decimate other countries' food culture in the same way when it would have been less suprising if they had done.
Anyway, I cook all my own food from its basic ingredients - with a few herbs, spices, a good greengrocer and most of all, a good butcher, anything is possible. I am British, I cook, so therefore what I cook must be British! Especially if it's Italian, French, Indian or Thai. I'm working on picking up a couple of Polish recipes, but really I need to know the food well enough to be able to have a go at cooking it.
On the other hand, fish and chips which are 50% grease are something I think I would miss.