I think “clicky” people are people who are not emotionally vested in their beliefs.
Many people need their beliefs to be true in order to feel like they are valuable and worthwhile people.
Clicky people simply don’t need that (or at least need that to a lesser extent). Instead, clicky people need to be right whether or not that means they were initially wrong.
This is not true of all non-compartmentalizers—just the ones you have noticed and remember. Rational non-compartmentalizers simply hold on to that puzzle piece that doesn’t fit until they either
determine where it goes;
determine that it is not from the right puzzle; or
reshape it to correctly fit the puzzle.