sorry for the rather delayed response, but yes; The general idea of an advanced factory is that you can build a mark 4 ship that you can build a mark 3 of -> if you can build mark 3 fighters, you can use an adv factory to build mark 4 fighters. I can only assume that a core factory would follow similar constraints.. after all, who would want to build core autocannon minipods if they dont even have minipod mark2?
I guess what I am saying is that the player should have some say in how useful the fabricator is. I'm assuming that most people wont tech up mark 3 of a ship they dislike or never use, so the core fabricator in this case would be more useful.
However, you then run into multiple people issues; should the core fabricator always produce the same type for everyone, depending on who captured the planet? Or should the core fabricator choose a core unit for each player (when captured), and stick with that unit type per player for the rest of the game?
i guess what it comes down to; I would rather have a say in what the fabricator is useful for.. (see minipods above)
Oh, I see where you're coming from now. Don't worry, the Core Fabricators work completely differently from Advanced Factories. You as the player don't get to choose what kind of ship a Core Fabricator can build -- and that specific fabricator can only build a single type, period, no matter how many core fabricators you have (so if you have one that can build core drones and another that can build core mirrors, each one can build the type it started with, but not anything else -- the drones one only makes more drones, the mirror one only makes more mirrors).
However, also unlike Advanced Factories, you don't have to unlock any techs whatsoever for the Core Fabricators. So if you capture a Core Armor Ship Fabricator, for instance, and you don't even have armor ships normally and/or have not unlocked any Armor Ship related techs, it doesn't matter -- you still have access to Mark V armor ships from that one fabricator, as long as you control the fabricator.
You don't get to choose what kind of ship a fabricator produces, but you can tell beforehand what it will produce by hovering over it when you have visibility into that planet. So if it's not something you want, just don't capture the planet after all, that sort of thing. Hope that makes sense!