Zar,
You're right.
But as long as we're discussing jibing/gybing...
Until the advent of hermaphrodite rigs, and later the now-common marconi (fore-and-aft) rig, the maneuver you were executing did not involve any "gybing" booms. So in the days of old square riggers, which merely rotated the yards gently around the mast when switching from one tack to the other, it would not have made sense to call the maneuver "gybing".
That is why, strictly speaking, the maneuver that brings the stern of a sailboat through the eye of the wind is called "wearing" or "wearing ship".
Again, strictly speaking, gybing refers only to the sudden, forceful, side-to-side motion of the boom. As such, the boom "gybes" both when tacking and wearing, although the "gybe" when wearing is usually more violent since the boom sweeps a much wider arc.
Of course, in modern common parlance, most sailors now refer to both the wearing maneuver and the motion of the boom with the single term "gybe." Still, the correct albeit somewhat archaic term is "wearing."
Now go educate that mutinous crew member!