No, they don't? General fighting game mentality is defeat your opponent by depleting his health.that's what makes brawl different.
i could also make a list about what makes MK different.
or a list about what makes GG different.
etc
in general they all share the basic fighting game mentality.
I mean, is League of Legends/Heroes of Newerth/Defense of the Ancients an RTS because the end goal is to destroy your opponents base?