The AR isn't limited to 5.56 and therefore can have a significant edge, beyond what 5.56 already has.
Since we are talking in defense, higher mag capacity also weighs in.
Choice of optics as the AR can be much more easily equipped.
Ammo - 5.56 is cheaper and more available, which gives the shooter more opportunity to be a better shot.
The AR is a long term tested and proven weapon, with a much larger support base in accessories, gear, and options. The Carbine was a short term predecessor which was taken out of service after 20 years. M16's in service that long were armory upgraded, and there are weapons as issued in the early 60's still in service. Unlike Carbines.
I wouldn't think twice about sending the AR into a day long drizzle in the field, the Carbine would need extensive maintenance on return to prevent serious damage. The last Carbines sold by the DCM weren't in real good condition, old AR's pop up constantly in world news quite functional and in good condition. It's simply the difference between phosphate treated steel and anodized aluminum - the latter is used in storefronts over the last 40 years and a walk down Main Street shows them it in good shape.
Because of that, the Carbine needs to be stored in a humidity controlled environment - but the AR can ride in the trunk. And since you have to have it to use it, so goes the decision.