I don't think he gives the correct knot for the surgeon's knot.
First IMO you should cross the two ends, push under the upper end, and then repeat. Then form bights and do the same action again (I use this for laces when I need them to stay fastened or when they're long and I don't want dangling aglets). However, it seems I also have been doing the surgeon's knot wrong - I make it balanced (a reef knot with an extra cross in each direction) but in every other image it's finished with a single cross of the two bights.