This is just my opinion, but I've observed this in hitches and hardware.
A hitch, apparently regardless of type as indicated by Robinia in his openning post, imparts twist to rope. I believe the twist is due to the helical effect of the hitch. The turns of the hitch form a loosely coupled 'thread' which seems to impart twist in the rope below the hitch.
Although I haven't tried this, it would be interesting. Descend on a 'right-hand' hitch and carefully note the direction of twist on the rope. The descend on a 'left-hand' hitch and notice if the rope twists in the opposite direction.
Like Robinia, I have experienced twist with every hitch I've tried. The strange thing is, sometimes it's significantly worse than other times.
As for hardware, I've noticed that Grigris will impart twist although not as bad as a hitch. A rack will not UNLESS you use the hyperbar. When the hyperbar is used, I have seen it twist rope. Looking at the Grigri and rack with a hyperbar, they have one thing in common, they both requre a 180° twist in the rope in the threading process. It's so subtle, you may not have ever noticed it.
Think about an F8. F8s twist rope - because of the twist required in threading the rope through the F8. OTOH a Petzl Stop will NOT twist a rope, nor will a Unicender or ATC because none of these require a twist in the rope to thread the device.