Notice how long she fiddled around checking for air movement and getting a barrier device to give the two initial breaths. The healthy looking guy who collapsed probably had greater than 95% of his hemoglobin saturated with oxygen. Why not dispense with the rescue breaths? They only delayed the initiation of compressions.
But the sequence was performed in accordance with the AHA guidelines which can be accessed here.
At the University of Arizona for years they have been teaching it this way.