I doubt it. A high percentage, yes, but the story of the last years the show is telling is withdrawal from the Federation, frowning on expansion, protecting home cultures, etc., by Earth and Vulcan. I don’t think Star Trek has ever told the story of the ordinary Joes who preferred to stay home and marry someone of the same species and live like their ancestors did. Most people are not going to be Trip Tucker and T’Pol from Enterprise or Spock’s parents Sarek and Amanda or Gabriel Hwang and Pel from Picard, though descendants of some or all of those people are probably living on Ni’var and could be encountered by Burnham. Spock married, as Picard went to his wedding, and it was likely to Saavik.