* now let's get back to reality *
Clearly one can speculate a lot - and imagine/wish even more - but we should keep our feet on the ground with everything.
FD designs features in a way that they can be solved with the existing means of game mechanics (basic procedures).
To redesign the basic programming every time would not only be uneconomical, but also a quantum leap compared to what FD already delivers

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So let's have a look at what's possible with the already existing game procedures
Carrier interface:
after docking at the carrier the well-known station mask (like at Engi´s), nothing on the left, fuel, ammo, equipment on the right?? and a link to submenu (instead of Engi-Workshop here Fuel-Depot) where you can "donate" collected fuel to the ship. Whether only the owner himself or also friends with landing permission, one will see.
There will be a shipyard, but without the possibility to acquire new ships, the possibility to have ships transferred to the carrier, yes, otherwise the carrier makes no sense as a "personal" fleet carrier. Number and size of ships limited to the corresponding configuration of pads.
If a carrier is full, invited friends cannot dock!
With appropriate "personalization", the marketplace, Universal Cartographics or (and?) contacts according to the role are activated/provided in the carrier menu on the left.
Navigation:
So far large ships move according to a timetable (flight route and server tick), flight routes can be planned with Galmap & Sysmap, on Sysmap only stars, planets and moons should be selectable as targets (avoidance of instance problems) with activation of the jump (carrier main menu ??? / Galmap) the same sequence will run through which otherwise the server tick triggers - hopefully with reasonable animation...
Instancing:
Only Wing members and invited friends with landing permission will see the signal source of the carrier in the system, otherwise the servers would melt when 5000 Cdr are parking their carrier in Shinrarta .
For the same reason you will NOT be able to bring the carriers into the same instance with a station, at most into one orbit around one station - analogous to the rescue ships during Tharg attacks.
edit: interesting question though: if You are running a mining/trading carrier and friends deliver goods to your carrier - will they donate the stuff to your FC or do you have to pay them? Pricebase? That could get a nice way to exploit your friends - you pay em 2000Cr/to VO´s and later sll them for 1,6 Mio
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