Well, Switch, the FIRST problem I have is that page 11 (of 40) references PHASE 3: COMBAT MOVE, not non-combat moves.
Page 13, however, does talk about Aircraft Carriers, in the combat move portion of the game.
Aircraft carriers (note that it is PLURAL) can move during this phase, but first they must “launch” their fighters.
Same page:
The fighters can then make a combat move from the carrier’s SEA ZONE.
Notice that it says the fighters move from the SEA ZONE, not from the carrier. This is a very deliberate distinction. That means your fighters are located in the sea zone, NOT the carrier, the carrier is present only to open the possibility for putting fighters in that sea zone at the end of your non-combat turn.
This is illustrated on Page 18
You must have a carrier move for a fighter that would end its combat move in a sea zone. You cannot deliberately move a fighter into a sea zone that is out of the range of your aircraft carrier.
It references the SEA ZONE. It does not care WHOSE carrier it is, only that a carrier is present in the sea zone.
Page 20 continues:
A multi-national force cannot attack the same space together. Each attacking power moves and fires its own units on its own turn. A FIGHTER MAY LAUNCH FROM AN AIRCRAFT CARRIER OWNED BYT A FRIENDLY POWER, BUT THE CARRIER MAY NOT MOVE UNTIL ITS CONTROLLER’S TURN.
The Fighters are not tied to the carriers, the fighters may move or the carriers can drag them along for the ride. Or the carriers may leave the fighters behind and leave without them (provided the sea zone is still a valid landing zone for the fighters in question.)
Page 21 (Non-Combat moves start here, not combat.)
Air units can land in any friendly territories. They cannot end their move in hostile territories or in any territories you captured this turn. Fighters can land in any SEA ZONE that has a friendly carrier, even those that moved during this phase (but not in the middle of the carrier’s move.)
Seems pretty clear, the fighters are in the sea zone, not the carrier deck. The carriers just grant the fighters the ability to land in the sea zone, which allows them to defend the fleet on any counter attacks.
Same page:
Aircraft carriers can move to SEA ZONES that contain friendly fighters to allow landing.
Again, they are emphasizing that the fighters are landing in the sea zone, not the specific carrier you happen to have there.
Now I agree, the fighters not moving from ship to ship may be a darn fine HOUSE RULE for face to face games or games played on programs that do not auto-stack your units for you. However, it is a house rule, not a codified rule.