Would an Arethusa-class cruiser be a better choice at Narvik?

Would taking an Atlanta-class cruiser to the battles of Narvik be useful?

An Arethusa-class cruiser is the preferred choice in this counterfactual because its six-inch guns add heavier shells while British destroyers already supply rapid 4.7-inch fire.

In this Narvik counterfactual, an Arethusa-class cruiser is preferred because British destroyers already supply substantial 4.7-inch fire. Atlanta or Dido would add more rapid fire when heavier shells would be more useful. Arethusa's six-inch guns combine that extra hitting power with manoeuvrability in the fjord. Warspite also went farther up the fjord than a postwar chart shows.