Should Nelson and Rodney have used triple 15-inch turrets to save weight and gain speed?
Short answerPossibly, if the redesign also improved the hull and machinery; the larger benefit would be a faster ship standardized around an improved 15-inch gun.
NotesThe proposed improvement centers on the 15-inch/50 gun. Older battleships such as Warspite could receive an improved gun without necessarily adopting triple turrets. For a redesigned Nelson class, armament savings and the remaining treaty displacement allowance could support a longer hull, more machinery space, and a third shaft. That combination is proposed as a route to about 28 knots. Standardizing on the improved 15-inch weapon would also make a subsequent switch to 14-inch guns for the King George V class less likely.