Selective mobility: it depends which groups you compare with

For ‘Social selection’, there is a debate about cause/effect, but healthier people are more likely to experience upward social mobility and less healthy people more likely to move down the social hierarchy. For ‘Deprivation selection’ there is a similar cause/effect debate, but healthier people more likely to move to less deprived areas and people in poorer health more likely to move to more deprived areas. Might these mobilities lead to widening or easing of health inequalities?