Starting at 0:58, Owen in Vancouver counsels you to alternate the knife's edges. Each time Owen pulls the knife, he alternates as he advised. But why? Why not hone one side with 15 consecutive strokes first, then switch to the other side?
Honing is the act of 'pushing' the edge of the blade into alignment.
Were you to do one side only, it would push the edge to the opposite side, then when you swapped, it would push it all back again. No net gain.
Image from Serious Eats - How to Hone a Dull Knife