As much as the idea of a German carrier is interesting, it seems to me that one carrier is not going to do much overall. Even assuming it did sortie with the Bismarck and Prinz Eugen and was able to provide the tiny task force with sufficient air cover to knock down swordfish and maybe the Catalinas shadowing the fleet, it's tiny force of Bf109T's and "SeaStukas" would have been operated by aircrew completely undertrained and inexperienced on offensive carrier strikes. Also, inspite of what the referenced websites may say, the Germans had not provided a torpedo-bombing component in the initial planning of GZ. One was planned when construction of the ship was temporarly recommenced in 1942, but that would have been too late to help Bismarck. Maybe all three ships might have chewed up some transports and sunk another cruiser or two, but they would have had to make it to Brest pretty soon. Once there, just like the other german fleet units they would have been gradually pounded to bits by the RAF until they channel-dashed to Kiel. Then they would rust away until VE day.