so, I think it should be yes, but I'll take the counter point for discussion.
Because the rules are clear that Facilites may only seed in their matching quadrant, the text on the outpost should be seen not as permissive (seed at any nebula, regardless of quadrant), but as restrictive. (Seed only at nebulas.)
Facilities may seed only in their native quadrant (but may be built during the play phase in any quadrant, if appropriate). You may seed or build an outpost only at a mission (either or , belonging to either player) with a matching affiliation icon (unless the outpost's text specifies otherwise, such as the Neutral Outpost).
(Glossary)
So, I would argue in this case that Transwork Hub is overriding the generic outpost rules letting it seed at any mission with a matching icon.
Indeed, I would argue that the strongest point in favor of this interpretation is
Borg Outpost, which says "Seed one at any
mission with no affiliation icons " however no one argues that it can be seeded in the AQ.
Similarly
Neutral Outpost is "Seed one at any
mission" but cannot be seeded in the GQ, MQ, or DQ.
Edit to add:
You may not seed or build any outpost at any homeworld mission, regardless of affiliation icon, unless a card or rule specifies otherwise (e.g., a Borg Outpost may be built at an assimilated planet, even a homeworld). A headquarters may be seeded or built only on the specified homeworld.
Stations may be established only at the locations specified on the cards. You may not seed or build any facility at a location where you already own a facility, even if uncontrolled, commandeered, or assimilated, unless one allows another to "co-exist" there (e.g., Chamber of Ministers). (However, you could have two facilities at a location as a result of moving or commandeering one.)
So if the game text of the cards overrides the rules completely, then Transwarp Hub should also be able to see at the Dominion Homeworld, and the Borg and Neutral outposts could seed at a spacehomeworld mission, if one ever exists.
I think the only way to read it is that the intent was for the rules text on these facilities was meant to be a "yes, and" to the rules instead of a "instead of".