You are correct.
Another challenge for a Japanese aircraft task force operating in the North Atlantic is the logistics train.
Once those aircraft carriers pass through the Malaccan Straits in Singapore, the allies could track their position as it would take them a few weeks to get to the Europe.
And once you get to Europe, where are you going to refuel your ships and aircraft? And from whom? The Germans? The Italians.
Incidentally, if you want to see an excellent WW2 film, I highly recommend the 2005 Japanese film, Yamato. It tells the story of the last voyage of the largest battleship ever built, Yamato, sunk by American planes off Okinawa.
The brave men all knew they were going to die, and so the film addresses the human side of the battle, and certainly shows the realistic violence of manning the anti-aircraft guns aboard Yamato. It’s a Private Ryan kind of film. Well done. You can find a short 13 minute clip from the film on YouTube. Not sure if you can find a English subtitle version or not.