I'm sure there will be examples and my childhood memories won't be great but that link isn't a good example of British recipes.

Most of the instances of "cups" come from the "Edwardian recipes" which is a collection of international recipes including American. It includes in the preface a Table of Measures which is what you do for Brits who see "cup" and ask "what the fuck is that?"!

4 cups flour = 1 quart or 1 lb.

2 cups of butter (solid) = 1 lb.

2¹⁄₂ cups powdered sugar = 1 lb.

1 cup = ¹⁄₂ pint

1 glass = ¹⁄₂ pint

1 pint milk or water = 1 lb.

9 large eggs = 1 lb.

1 table-spoon butter = 1 oz.

1 heaping table-spoon butter = 2 ozs.

Butter the size of an egg = 2 ozs.

https://www.gutenberg.org/files/68137/68137-h/68137-h.htm#Li...