Could Norfolk and Suffolk have attacked Bismarck?

Why did Norfolk and Suffolk not attack Bismarck more aggressively?

A split-direction attack might have complicated German fire control, but the cruisers largely remained in a shadowing role and fired little.

Norfolk and Suffolk might have complicated Bismarck's fire control by attacking from a different direction, as Harwood's force did at the River Plate. The County-class cruisers carried eight-inch guns and could at least have fired at long range. In practice, they remained largely in a shadowing role. The uncertainty separates an attractive tactical alternative from the choices made during the pursuit.