Making the weaker side win isn't too easy
I was aware that the battle was not fought between the 4 commanders, and very rarely manouvers are executed flawlessly. I also do know that on paper there is no reason for Grand Fleet to lose.
But I've decided to get a POD in Jutland that causes indirect Central Victory with hurting or even breaking the British blockade, and more importantly, keeping submarine warfare restricted and thus USA out.
I am not looking for complete destruction of Grand Fleet, but for a plausible, if improbable scenario where Grand Fleet takes a beating while Hochseeflotte does not and both Kaiser and Scheer will believe that breaking the blockade is better idea than starving Britain before Britain starves Germany.
How I see it, I have now three alternatives to this:
1. What I have been trying to test here: Jutland with German Zeppelin enabling hit-and-run strike against Grand Fleet because Scheer sees an opportunity and decides to risk it, which has the problems you've pointed out.
2. With the Zeppelin, Scheer can set a better trap for Beatty and destroy his force completely, then fall back before Jellicoe arrives. Battle of Jutland is decisive German victory, but much smaller than in OTL. This has a few problems, such as Beatty's force not being easy prey, the need for a later decisive battle which I'd had to develop from scratch, and the death of Beatty meaning one incompetent leader less for the British.
3. There is no Zeppelin in the air, but there is luck. Scheer runs into Jellicoe before Jellicoe has formed a line, or after he has formed a line facing the wrong direction, and improvises a hit-and-run strike, much like the one in 1. possibility. This probably won't cause too heavy damage on British, but means lighter damage for Germans who won't run into a battle-line. I'd expect Lützow survive this. The decisive and really lucky part is the night action, where German flotillas manage to sink a few capital ships and retreat with light/no losses, while main force breaks through British flotillas as in OTL.