This pristine awareness is what Dzogchenpas refer to as rigpa. The analogy given by Dzogchen masters is that one's nature is like a mirror which reflects with complete openness but is not affected by the reflections, or like acrystal ball that takes on the colour of the material on which it is placed without itself being changed. Having distinguished rigpa from mind, one is not distracted by the mind, i.e. one does not let thoughts lead oneself. This allows thoughts to naturally self-liberate without avoidance.

Yeah but they can still be annoying.