There really wasn’t time to mourn Han, they still had to finish the task at hand and get the hell out of there. In the original film, there was but a moment for Luke to mourn over Ben’s death and then the TIE fighters attack.
There was more time than that here. And it still explains zero about wtf did not happen between Leia and Chewie and DID happen between Leia and “Oh look some girl I’ve never met! She looks prime to share my grief over the horrifically sad death of my best friend and lover of many decades with!! not like any other old friends who I wouldn’t know were around BECAUSE I TOTALLY IGNORED THEM AS THEY BOTH APPROACHED AND WALKED PAST”
“But YOU… random stranger… HUG TIME!!”