I think it has to do with the part more than anything ,,, I think a lot of guys have a idea that a live tool lathe is a milling machine and from what I have seen its "NOT" its still a lathe but it can do some milling .
For the parts I do I have found a lathe with a barfeeder runs off the parts just fine and I do second op on a mill when I need to ,,, only like 20% of my parts need mill work and with the cost of a live tool lathe being about the same as a 2 axis lathe "AND" the cost of a 3 axis mill for my parts its better to have a lathe I can use as a lathe everyday and a mill I can use as a mill everyday ,,, Yes some parts I have to re handle handle to do the milling but its not all my turned parts ,,,
A cheap Haas mini mill is more capable at milling that any live tooling lathe I have seen and it holds multiple parts and multiple tools at a time ,,