One to play a static, grounding part, the other to play a more moving part, that's typical. Or one to play arco,the other pizzicato.
On Free Jazz, Haden plays in one tempo, LaFaro in a more or less double tempo.
Atypical would be for both to be playing the same type thing, either tonally, speedwise, register, etc. That a big lot of mud in a big lot of hurry.