Some ideas for Carrier Assault...
Add an LPD as a support ship for each team, alongside the aircraft carriers, serving as a base area inaccessible to the enemy.
Both sides could have similar-sized ships, around 210 m: something inspired by the Type 071 for PAX, and the USS San Antonio for NATO. These LPDs would be used for spawning infantry, transport helicopters, and attack boats via their flight deck and well deck.
To prevent early spawn camping, the aircraft carrier area should remain completely inaccessible to the enemy until the carrier drops to 50% health. Once it reaches 50%, enemy infantry can invade, but the automated AA defenses will stay active. This adds an extra objective for infantry to sabotage those AA systems so jets and helicopters can safely approach.
To retake an invaded carrier, players could also use ziplines directly from the LPD to the aircraft carrier as a fast infantry boarding option.
For the jet spawn issue, the first spawn could remain on the aircraft carrier, with the launch animation. After that, subsequent spawns could happen already in the air, within an airspace inaccessible to the enemy. That way, if the carrier is invaded, there’s no point waiting around for jets to spawn there.