How a carrier could have changed Force Z

What difference would Courageous, Glorious, or another surviving carrier have made in the Far East?

It could have placed Force Z under a fighter umbrella, brought more escorts and radar coordination, and forced Japan to commit a much larger force.

Even one additional surviving British carrier would change both the composition and command of the Far Eastern force. A carrier would bring airborne fighters, radar direction, and the staff needed to coordinate with land-based air defense. More escorts and perhaps a cruiser would likely accompany the enlarged formation. If Prince of Wales and Repulse survived, the combined force could continue threatening Japanese logistics around Singapore and demand a much stronger response.