A detailed study on correlation between residual thermal response of a sample and its optical absorptance change due to laser-induced surface structural modifications in multi-shot femtosecond laser irradiation is performed. Experiments reveal an overall enhancement for residual thermal coupling and absorptance in air. Surprisingly, residual thermal coupling in air shows a non-monotonic dependence on pulse number and reaches a minimum value after a certain number of pulses, while these behaviors are not seen in absorptance. In vacuum, however, both suppression and enhancement are seen in residual energy coupling although absorptance is always enhanced. From these observations, it appears that air plasma plays a dominant role in thermal coupling at a relatively low number of applied pulses, while the formation of craters plays a dominant role at a high number of pulses.