Maybe you're right, but from the perspective of watching live, players were crowding (not that unusual), he's seen a blatant piece of violent conduct (if not two, if you count the pull around Fatawu's neck), got his red card out for all to see, put it back, booked Dozzell, booked Fatawu, and then after a considerable pause, then showed Dozzell a second yellow.
He's arrived at the right conclusion, in the most long-winded and chaotic way.