I don't know what this means.
Think Braxton's "For Trio" at one end, and Brotzmann's "Machine Gun" on the other.
And think "Lonely Woman", "Ghosts", "New York Is Full Of Lonely People", any number of Frank Lowe tunes, etc., in between, and I'd say that "melodicism" (and I'm still not sure what that really means, melody being in the ear of the behearer and all that) is certainly encompassed.
"Free" is just a way approaching a destination, it's not a list of ingredients. Same with "jazz". One could make the argument that jazz = freedom, therefore "free jazz" is a redundancy, but that time has come and gone. As Ray Price famously and heroically once said, don't look so sad, I know it's over.