I think you're mistaken, because he said that he did take that into account, and the few random checks I did confirmed it.

For example, starting with the first card in the first example he has

A 10 4 2 K 9 8 9 8 10 8 9

A 4 is one hand, 10 2 is the second, K is burned

989 is the flop, 8 gets burned

10 is the turn, 8 gets burned,

9 is the river.

You are completely right. My bad!