Small fridges are also a result of smaller kitchens found in many parts of the UK/Europe, especially flats.
In "As Time Goes By" Jean Parterger's kitchen is located at the back of a townhouse home. Though she does have a cupboard behind the stairs, if the home is old enough it would have been common for the kitchens to be below stairs (basement). Many times as in the US, when the house is "updated" it's new owners wish a kitchen on the main floor to save all that running up and downstairs. Remember 100 or so years ago there would have been servants to bring meals up with perhaps a dumb waiter. You have no idea how difficult it is to get hot meals up one (ground floor)flight of stairs, much less two or more (bedrooms or floors above ground floor).
Anywho, the point of all this palaver is that if the home was remodeled, the kitchen would have been carved out of some other space. It does strike me as odd that Jean's house does not have a formal dining room, common for homes of that era. So perhaps the kitchen was craved out of a dining area, and the front parlour left slighly smaller, but large enough for a drawing room and office area.
Though if the home was built say around 1900 or so, when there was a building boom of "middle class" housing, it would have been common for the kitchen/scullery to be located at the back of the house. It was not expected for middle class housewives to have servants full time, so the need for an easy to reach kitchen was a required. 1900 House reality show has just such a home.
In general however, you are correct in that European/UK homes do favour "fresh" over storing up for the duration. Bread, meat, veggies, fruit,fish, etc usually were all purchased one daily or every other day trips to the shops/market. There is a common "joke" in the UK and probably parts of Europe as well, that no decent married woman goes out without her shopping bag/basket. By way of explination, many shops in Europe/UK do not pack groceries/purchases in those plastic or paper bags American shops give away by the crate load. One is expected to have one's own shopping basket/cart/bag to fetch things home. This is a hold over from another time when Mrs. would go shopping with her own basket to bring things home in. Though many shops today do offer plastic sacks, some areas frown upon it due to complaints from environmental activists who complain about all those plastic bags basically going into the rubbish.
L.