You'd have to define what you think of as "random". Because as far as I've always known, for something to be "random", it must be uncontrollable and unpredictable, the former of which is non-applicable, the latter, debatable. Not going for guaranteed damage isn't playing random, its just not doing follow ups and juggles (as the primary source of damage). Aka, free/guaranteed hits.
As for "how the game is designed to play", it differs from character to character. Mila, for example, CAN focus on it, but her overall moveset, mechanics, and gameplay is more akin to realistic fighting than standard 3d fighter fare. Mila is more ground game than other characters (sans wrestlers), which I enjoy, a lot lol.