I'm not sure it's entirely-justified to blame the survivors for surrendering on the second day. What few dreadnoughts they had left were badly shot up, and while they could have achieved a breakthrough, it would have been bloody, and any ship that got through easy prey for the torpedo boats and destroyers hanging back for just such an eventuality. Not to mention the U-Boats shadowing the approaches to the British Isles and the English Channel, the latter squadrons forcing the Channel Fleet to choose between going to help the hapless Grand Fleet and leaving the U-Boats free reign in the Channel, or holding position to keep the Channel clear, as they ultimately chose to do. TBH though, I'm not sure the Channel Fleet could have gotten there in time, much less be of actual help.
Going back to the surrendering officers and crew, well, apart from the objective reality they had to face, there was also the psychological effect of the previous day. They'd just witnessed the High Seas Fleet all but literally rip the heart out of the Royal Navy, and actually force them to turn and run with their tails between their legs. And all through the night the Germans kept up the pressure with near-constant torpedo attacks, and even when the pressure let up in the morning, well, just before noon they spotted the smoke of German engines, quickly straddling the horizon in every direction and then the High Seas Fleet again closing in like a noose around their necks.