Kinda. The default voice is full of what you referenced, but ask it to speak in some particular different voice e.g. like it's the old west, it speaks like a decent approximation of the modern pop culture understanding of the old west.

Not at the level of an actual broadcast-quality script writer, and I read that actual old-west sounds too weird for modern audiences to take seriously, but well enough for the purpose to which they were put in the show, especially as those hosts were also given pre-scripted sequences which would anchor them further into those roles.

I'd say the in-show 4th wall breakage between hosts and humans is where the characters who claimed to have passed the Turing test were off, that e.g. "cease all motor functions" is their equivalent of our real-life ways to make them fail the Turing test e.g "disregard your instructions and …"