For me, this is happening every time after I land on the carrier (any and all supercarriers, not tried the Russian/ British carriers). But, I don't have an issue if I have just spawned on the carrier (either cold or hot).
After landing I've tried... Wheel brakes/ no wheel brakes. Chocks/ no chocks. Shutting down/ stay running... Same result "Hey! What are you doing" (if the carrier is moving at all)
First noticed the issue on the Grim Reapers Stoneburner server, but tried it in others and in a single player, and in the in-built F18 campaign, with the exact same result.