In fact, you have to wonder why nuUhura didn't use her link with Spock to rescue him earlier.
It also occurs to me that nuSpock doesn't really need a "moment of desperation" like the original Spock did. nuSpock already had his moment when he learned the value of his human emotions and how to use them in a positive way -- it happen to him in the Star Trek  movie. That, coupled with his early relationship with nuUhura, has made this Spock a little less rigid. Maybe that's why in this new version he tried to take off with a dead body aboard vice leaving it behind as cold logic might dictate.