I understand that it all depends on the mass of the secondary star, that is the star that is loosing matter to the white dwarf, which when it explodes and becomes a neutron star sends the remaining remnants of the primary star having lost most of its mass flying through space.
It is now thought that Supernovae do not explode equaly in all directions, so the secondary star may not get the full blast of the of the explosion but still receive enough force to send it on its way astroron
