Dave when you use the morse taper mandrels you have to iuse the tail stock right? THe straight ones need the drawbar trough the head stock right?
A tail stock is not needed for either, but it stablizes your work a lot for the rough out.
The draw bar kind has a MT insert paermanently attached to it. That is why it can't go in a collet chuck.
It all depends on whether you like using a collet chuck or not, and if your lathe accepts their screw-on attachment to your lathe....which about every new one does.
Collet chuck type mandrels are cheaper because there is less hardware and less prep time for the mandrel maker.
I use both. I like the draw bar type because that is what I am used to.