Let us suppose for the purpose of this thread, that for this battle Jellicoe was in command of the Battle Cruisers and Beatty was in charge of the Grand Fleet.
However, it was for this battle only, so we can’t argue that with Jellicoe in charge the German battle cruisers would have been destroyed at Dogger Bank and no Jutland yadda yadda yadda.
We also accept that Jellicoe took over after Dogger Bank, so he had four months in charge of the battle cruisers. However, the ships available to each commander were exactly the same at Jutland as they were historically. So Jellicoe had the 5th Battle Squadron with the powerful units of the Queen Elizabeths.
My potted view would be as follows:
As the battle cruisers collide, Jellicoe (more cautious than Beatty) allows time for the 5th Battle Squadron to catch up. They pursue the German battle cruisers who under the combined fire are taking heavy punishment. (Two points- the Queen Elizabeths with Jellicoe and the battle cruisers have had 4 months of Jellicoe training to improve their lousy shooting).
One point I don’t think can be resolved is whether the British battle cruisers would be more resilient to German fire- Beatty was alleged to have ordered removed flash doors so the battle cruisers could shoot faster to make up for bad accuracy. Anyway, gven that the German battle cruisers are under far more sustained and accurate fire it is probable that their accuracy would suffer.
The British battle cruisers are lead on to the High Seas Fleet. They turn and make for the Grand Fleet. Jellicoe - methodical and organised- feeds Beatty updates on the positions of the fleets. Beatty has no great decisions to make re deployment as he has it all at his fingertips.
The Grand Fleet gradually starts pounding the High Seas Fleet. With the reporting of Jellicoe , Beatty knows their position and mauls them. There is no death ride, there is no escape, and Beatty with his flair pursues them relentlessly with no care of the consequences. The shooting of the Grand Fleet is not great but because of the numbers, they are victorious.
At the end of the day, the High Seas Fleet is destroyed. Beatty is a hero, and Jellicoe passes as a footnote to history.
Let the arguments commence.