Though the Germans do get to choose the day they leave port, I don't think it's wise to assume that:
The British must respond.
The Germans will choose to come out with everything.
It's too much like saying who would win Jutland if I were there and I could shoot cruise missiles out my ass.
Grand fleet had days with only 42 destroyers, but Harwich force was still there, and so was channel fleet. The Germans have a theoretical maximum of 88 DDs but I bet you could count the number of days when they were all ready to go on one hand.
In 1915 the Germans did come out. They lost Blucher. Sedlitz came home looking kind of funny. Lion did not explode inspite of a serious pounding.
I think the question is good, and grounds for an interesting what if. But please, if your scenario design includes one side being optimal and the other side being realistic, go find the "what if I could shoot missiles from my ass" forum and post over there.
Sorry for being crude, but I strongly favor discussion based on some understanding of what was actually going on at the time.
..... What I wrote was taken directly out of Jellicoe's book, "The Grand Fleet 1914-1916". It was Jellicoe's job to worry about such things during the war and it apparently weighed on his mind enough back then for him to have mentioned it in his book.
There were no destroyers attached to either 5BS (Channel pre-dreadnoughts at that time) or 6BS (older pre-dreadnoughts at the Nore). As far as reliable ocean-going DD's were concerned, here is what Dittmar & Colledge credit as having been available to the Grand Fleet in January 1915 for North Sea operations.
1st DD Flotilla:
FEARLESS + METEOR + 20 I Class DD's
2nd DD Flotilla:
ACTIVE + GALATEA + BROKE + 21 H Class DD's (short-legged)
3rd DD Flotilla (Harwich):
UNDAUNTED + 30 L/M Class DD's
4th DD Flotilla:
CAROLINE + FAULKNOR + SWIFT + 22 K Class DD's
Of these, one division in five could always reliably be assumed to be re-fitting at any given point in time. And more often than not, one division out of every flotilla was off on one assignment or another and unavailable for the moment. Also, the utility of the Harwich DD's in any fleet engagement is not by any means a given. They had their own obligations [there was a reason why the newest and best DD's were given to Tyrwhitt in Harwich instead of the GF] and did not in fact take part in the Battle of Jutland. Jellicoe was not a stupid fellow; he knew what the calculus was and could potentially be.
Unlike the British, who had forces scattered all along the coastline, the entire German fleet was concentrated in a single complex of bases.
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The rest of the British DD's were clapped-out old-timers [except perhaps for 12 F Class DD's of 6DF] assigned to local patrol flotillas up and down the coast [6DF at Dover, 7DF at the Humber, 8DF at the Forth, 9DF at the Tyne].