County-class versus Hipper-class in a duel

With equal crews, which has the advantage: a County-class or Admiral Hipper-class cruiser?

The County class has the advantage, particularly early ships with high-elevation guns capable of plunging fire.

In a hypothetical one-on-one fight with equally competent crews, the County class gets the edge over the Admiral Hipper class. The strongest preference is for the first-generation Counties. Their guns could elevate to about seventy degrees, widening the engagement geometry available to the British cruiser. Plunging fire from that high elevation is treated as the decisive advantage in this simplified duel.