I tried making a carrier several times. However it seem like having a carrier support bay is worst than not having one, because
- It takes up a slot
- Cannot use stick together, which reduces the effectiveness of fighters significantly
- The two fighter defense, tractors and Anti Fighter Missiles, offers no chance for a fighter to return.
- Most other random hit will kill a fighter in one shot
The only time it seem to help is in dog fights near the carrier, but then a tractor beam is way better for that.