At least Picard cried his eyes out when it counted ('Sarek' and Star Trek: Generations, ). Kirk (or rather, his savage half) only shows real emotion when confronted.
He cried in other episodes (ex. "Family"
). I guess he was fond of tears.
Kirk: He was shaking/shattered immediately after Edith's death, deeply depressed after Rayna's breakdown, grim and sad after Aurelan's death, and sad/thoughtful after Gary Mitchell's death.
Did he need to stream rivers like Picard in order for it to qualify as "real emotion" when everyone does not express/react the same way?