It's kind of hard to compare the whole thing with Kirk's situation as well. While we have a lot of background on Picard and Beverly, We never really have a full canon explanation of Kirk and Carol's romance, how well he knew David when they were younger (It's clear David has some familiarity with who Kirk is and his relationship with his mother, enough at least to distrust him at first) etc. (Into Darkness doesn't count since it's another universe, for all we know Admiral Marcus is a nice guy in the prime timeline and had nothing to do with Pike's career).
Kind of curious if Strange New Worlds will cover this, since season 2 seems that it will still feature Kirk in some capacity around the time David would probably have been born (Late 2250s/early 2260s).