Pet photographer, that's me.
The Air Pack Rule Book defines Temporary Majority Medal Objective as –“The Victory Medal for this group of objective hexes goes to the side that has units in an absolute majority of these hexes.”
Apparently what is meant is The Victory Medal for this group of objective hexes goes to the side that has an absolute majority of units in these hexes.
Absolute majority of hexes means or can be interpreted as a player must control (occupy in game terms) the majority of hexes or 3 of the 4 hexes in the objective location regardless of the presence of the enemy
An absolute majority units means a player must have at least one more unit than the enemy in the objective location to claim the Medal. Thus one unit could control the Medal Location if there were no enemy units present.