Could Zumwalt serve as an Aegis air-defence cruiser?

Could the Zumwalt class perform the Aegis air-defence cruiser role?

Its radar and command spaces could support the role, but it would need many more VLS cells for air-defence missiles.

The question contrasts Zumwalt with the Ticonderoga class's Aegis air-defence mission. The newer ship already possesses the radar needed for that work. Its command spaces could also support the staff functions expected from a cruiser. The limiting feature is missile capacity rather than sensors or command accommodation. A larger vertical-launch battery would let the design carry enough air-defence weapons to make the cruiser interpretation operationally credible.