Fortunately, these flavors are easy to replicate in a compound butter (you can even use resolidified brown butter). Another addition that goes well with capers and butter is fresh herbs, such as dill.
Compound butters ... blitz 125g unsalted butter, 7-10 anchovy fillets, 1 tsp of the anchovy oil, 12 black olives (I used salt-cured), a handful of fresh dill (or fennel fronds, or chives), the ...