  (Abridged) In the first paper of this series, we presented hydrodynamical
simulations with radiative cooling of jet models with parameters representative
of the symbiotic system MWC 560. These were jet simulations of a pulsed,
initially underdense jet in a high-density ambient medium. They were stopped
when the jet reached a length of 50 AU. There, however, a transition of the
initially underdense jet towards an overdense jet should occur, which should
result in changed kinematics. Therefore, we describe two hydrodynamical
simulations with cooling beyond this density balance, one with the same
parameters as model i in Paper I (now called model i'), which was presented
there with and without cooling, and the second with higher gas densities in the
jet pulses (model iv'). Hydrodynamical simulations, with a further approximated
cooling treatment compared to Paper I, were used to be able to enlarge the
computational domain. The transition causes changes in the expansion of the
cocoon and therefore the morphology of the jet, e.g. a larger radial width of
the jet knots. We investigate the radiation properties of the jets, the
bremsstrahlung and optical emissivities, integrated emission maps, and
synthetic absorption line profiles. The conclusion that the high observed
velocities in CH Cygni, R Aquarii, and MWC 560 favor the models with cooling is
unchanged by the transition. The observed parallel features in R Aquarii can be
produced by the internal knots or by a variable dense radiative shell of
shocked ambient medium. The absorption line profiles show that the real
parameters in MWC 560 are closer to model iv' than to model i'.
