Ah, what the hell, someone has to take this seriously just for the sake of argument...
and there are certainly British Miserabilists out there (Andrew Gordon, Corelli Barnett, etc) who believe the Grand Fleet could have screwed up that badly. Imagine Charles Beresford recalled from retirement to command, for instance. (Including, arguably, Jellicoe- he was consistently generous in his estimate of enemy capabilities, and pessimistic of his own.)
With the battle line of the Grand Fleet broken, the High Seas Fleet can do all those things that the Grand Fleet was stopping it from doing; chiefly, lift the British blockade, impose one of their own that would cut off British imports and make it impossible to prosecute the war.
Peace treaty at torpedo- point, BEF is withdrawn from France, German army swings through force vacuum, Kaiser holds victory parade down the Champs Elysee, vivat germania in omnes et perpetuo.
When Churchill described Jellicoe as the only man on either side who could lose the war in an afternoon, he actually had a point.
How, on the other hand...it's beyond the ordinary chances of war. So many things would have to go so very right, so very consistently, as to defy probability.
One mischance is believable, several are probably the result of the real odds not being what you thought they were (gross underestimates of the actual volatility of British cordite leading to highly dangerous ammunition handling procedures for instance), but being consistently one standard deviation off normal...no.