Tanāsukh in this debate means a soul leaving its former bodily relation and becoming attached to an unrelated body belonging to another identity. Bodily resurrection is different: the same person is restored in relation to that person's bodily existence.
The objection asks whether a changed appearance or condition in the resurrected body amounts to transmigration. The reply distinguishes alteration in condition from a soul entering a wholly different person's body.
Continuity of the original bodily identity, the identity-bearing components, and the soul's relation together distinguish resurrection from transmigration. Simply living again does not by itself meet the definition of tanāsukh.