Adabiasis is a system mechanism. It pertains to fluid movement. Stars do not primarily emit heat through fluid transfer, outside the internal convection zone within the star. Most heat escaping a star is radiative, in the form of IR and other photons. The radiated heat goes out in all directions (though possibly less at the poles), so a star will gradually cool at it sheds heat into space.
Stars come in many different flavors, some hotter than others, so it is not unusual to have a hotter/colder binary pair. A small fraction of one star’s radiative heat output will impinge on its partner, and vice versa. Hence, the colder star will move some of its heat to the hotter star, albeit less than the hotter star is moving to the colder star. A bunch of photons moving on a path are not deterred by a bigger bunch of photons coming the other way.