Let me illustrate:
Here I have a job set up to apply to the rotary. Some side notes - I have Rotary enabled, I set my job origin to top center (with respect to the artwork making it easier to position on my object in the machine), and to start from current position.
The way I prefer my rotary orientation is pictured here (and as such I created my design to this same orientation)
The resulting work comes out as expected (no mirroring).
If I prefer my Rotary to be turned the other way in the machine:
Then I would think to make my design like this, right:
But, because my stepper motor controlling the Y axis is wired opposite, I would get a mirror on Y: