Do medikits repair armor?

If your soldier takes more damage than he has bonus health from armor, his health will start depleting, resulting in him spending days in the infirmary. Does healing a soldier restore his armor's ability to block damage to health?

An exmaple: a soldier wearing Titan armor (10 bonus health) takes 8 points of damage. He is then healed by a medkit for 8 points of health. The soldier takes 6 points of damage. Has he taken health damage and thus requires time to recuperate, or has his armor absorbed 6 points of damage and he remains unharmed?

Yes, they most certainly do. My support officer, Carrie Wagner, was wearing Titan armor (10 bonus health) and received 10 damage, which she healed with a medikit. She then took 10 more damage (It really is quite extraordinary she should get damaged for exactly her armor's bonus twice in a row, I couldn't hope for a better experiment) and at the end of the mission her status was active, not wounded.