People also often seem to vastly overestimate the effectiveness of radar on ships during WW2. False readings, false readings everywhere. Radar being turned deliberately by commanders for all sorts of reasons. Radar breaking due to the shockwaves of their own guns firing. etc
Late model american radar was superior to what most other nations had, sure, but it wasn't this infallible system that guaranteed that nobody could ever escape the mighty Iowa's during literally all weather situations.
Interesting thing I didn't realize: Iowa class BBs are borderline useless in the north Atlantic. Makes all those "Who'd win in a fight, Iowa or Bismarck" discussions a bit more interesting.
Those discussions are rarely very interesting because they're always like "one on one, calm seas, clear weather, both ships commence battle from 40km away, who would win". Which eliminates so many variables and often completely negates certain traits a ship can have.
Not to mention that at best you can just make up a percentage on who would more likely win. Because naval warfare is random as ****. Tiny of a chance as it might, the first shell fired could very well find its way straight onto a bridge or central firecontrol, or knock a turret out and cripple a ship for the rest of the fight.