The fat is removed by centrifuge these days, not by gentle warming and skimming as in the past. Post war, the cream was the premium product and the skimmed milk was fed to the pigs as it was the by-product.
Nowadays the faddies like the full skim to drink (yuk) and the cream is the by-product. It is exported by road tanker to the Netherlands where it is used to make spreads like Clover, then re-imported.
Bear in mind that to supply the super dairies like Wisemans, Droitwich raw milk is often brought 200 miles, again by road. Food miles? carbon footprint? Don't get me started!