There is little correlation among Seyferts between galaxy and nuclear properties, except that the most luminous AGN seem to prefer overluminous galaxies. There have been reports, and considerable controversy, as to whether Seyfert hosts have higher star-formation rates near the nuclei than otherwise expected. Radio galaxies , again almost by definition, favor elliptical galaxies or their relatives, when close enough for us to see in detail. An important question is why ellipticals make double radio sources and spirals don't. Something of the kind seems to be happening in 3C 293 and 3C 305.
Jets are energetic, spectacular, and apparently fragile.
Recall that the emission-line regions are very similar in radio galaxies and Seyferts. As one looks at higher redshift, and simultaneously at earlier cosmic times and at phenomenally powerful and rare galaxies, bizarre morphologies dominate. In part this is a passband effect - the aligned components are generally blue, so at higher redshifts they become more prominent. For more details, start with McCarthy et al. Quasars have been a much harder problem - if you could see the host galaxy, it wouldn't be quasistellar.