However, Ferengi Trading Post does not simply rely on its status as an outpost to allow reporting. It has special text that reads: "Each player's non-Borg cards may report and mix aboard regardless of affiliation."
There is nothing to suggest that this special text is inoperable when the the Trading Post is in another quadrant. I can see someone saying "No, it just allows reporting regardless of affiliation -- not regardless of what quadrant the facility is in." But look closely, and you see that the special text also allows the other player's cards to report, so it's not *just* eliminating the affiliation reproting restriction -- the special text itself allows the cards to report.
In fact, if this card weren't an outpost, or weren't even a facility the special text would work exactly the same way.
(Obviously i would be relying on Construct Starshipto download the outpost outside its native quadrant.)
I'm thinking about this because I've noticed that the Mirror Quadrant does not have a any kind of non-aligned, neutral or other facilities allowing reporting of any non-Borg affiliation, the way the Alpha and Delta Quadrants do.