I would not want builtin Op Center at the cost of OP. Odyssey is already badly OP-starved. Well, more starved than other capitals except maybe Astral with five or six high-end bombers.
Odyssey never did line duty very well, but after the shield nerf in the last 0.8.x release (and no additional compensation beyond more top speed), it went from mediocre (not very well) to terrible (almost cannot do it at all). This would be like if Aurora and Paragon got worse shields to compensate for their buffs (more speed for Aurora, more shot range for Paragon). Would Aurora be good with the same shield nerf as Odyssey? (Likely not, it probably would not win flux wars as often as it can now.)
Independents can sell just about any capital, although it is usually well into endgame considering how slow it is to build up reputation past 50 with them. With Tri-Tachyon, if it is a market not big enough for Astral to spawn, it seems about 50-50 which of Odyssey or Paragon spawn, and sometimes, you get the same ships over and over again.
The problem with hybrids is by late game, they are sub-optimal. A combo of pure warships and pure logistics ships are better than hybrids. There may have been a time when hybrids were viable all game, but now, hybrids are only useful early in the game, not late.
P.S. One more thing. Conquest used to be unable to do line duty. But after the durability and heavy weapon discount buffs it got, it is possible for it to do so against some capitals. Paragon will still slaughter Conquest, but Onslaught and Conquest is a more even matchup than it used to be. Also, in earlier versions, Conquest vs. Odyssey was more even. Now, Conquest crushes Odyssey like a grape. The only way Odyssey can reliably win against Conquest is kite-and-snipe.