Were there battles after Jutland in which capital-ship or cruiser secondary batteries made a difference?
Short answerYes. Their most important contribution was often deterring or disrupting destroyer and torpedo attacks, including at Dogger Bank and Jutland itself.
NotesThe value of a secondary battery is not limited to sinking an attacker. At Dogger Bank and Jutland, lighter guns helped keep destroyers and torpedo craft from approaching on favorable terms. That defensive pressure protected the battle line while the heavy guns concentrated on enemy capital ships. Post-Jutland secondary armament therefore remained a screen against close attack rather than an obsolete duplicate of the main battery.