A stronger Operation Rheinübung draws a stronger British hunt

Would replacing the German force in Operation Rheinübung with a twelve-gun battleship and three light cruisers improve its chances?

Probably not, because the Royal Navy would answer the greater threat with a larger and better-balanced hunting force.

The proposed German battleship's twelve 15-inch guns would bring roughly fifty percent more main-battery firepower than Bismarck, while its light cruisers would make British cruiser support more important. The Royal Navy would therefore concentrate additional capital ships and draw Town-class cruisers from nearby patrols. King George V and Victorious could join the pursuit instead of leaving Hood and Prince of Wales to meet the force alone. British doctrine and available ships would reshape the interception in response to the larger threat.