Does an Imperial Star Destroyer count as a carrier?

Does an Imperial Star Destroyer qualify as a carrier under the working definition?

No; its own weapons and direct-combat role remain primary, while the embarked TIE fighters are supporting assets.

Carrying an embarked fighter group is not enough to make every large warship a carrier. An Imperial Star Destroyer is organized around its own weapons and direct-combat role, while its TIE fighters are a supporting element. That fails the working definition because parasite craft do not provide the hull's primary attack and defense. The Secutor fills the dedicated carrier role within the Imperial fleet.