Independent butchers aren't all that uncommon. Though, for example, my town has 3-4 grocers that sell meat without having a counter (but I expect you could talk to the butcher at a couple of them), a grocer that does have a counter, and then a couple of independent butchers.
In that not-overly-large shopping complex, there are two supermarkets (one of which has loads of European smallgoods, like 40+ types of cheese) and also: independent greengrocer, butcher, fishmonger, bulk grains store, bakery chain, etc. Used to be a poultry-specialist butcher too. Most shopping centres I can think of here will have an independent butcher, plus more separately outside those. There'd be dozens of butchers in a city of about 1 million.