An overwhelming British fast wing at Jutland

Could the High Seas Fleet escape if Britain had four Admirals and four Number 13-style fast battleships at Jutland?

Probably not cleanly: the enlarged British fast wing could get across the retreat and hold the Germans long enough for the Grand Fleet to inflict severe damage.

The scenario gives Britain a much stronger fast force at Jutland, including four Admiral-class battlecruisers and four equivalents of Japan's heavily armed Number 13 design. Those ships could get behind the German force or damage it at long range while German commanders decide how to withdraw. Even if the High Seas Fleet reaches its minefields, the delay could let the Grand Fleet continue striking from the rear. Speed and position can turn additional capital ships into a barrier to retreat rather than merely more guns in the line.