Thats all fighting not just sport fighting.
They just fight by whatever engrained reactions are most dominate, which judging by the fight was not either style, and the most aggressive stronger fighter wins.
That's sport fighting.
First vid looked like the typical cage fight. One guy was stupid for staying rooted, he paid for it with a take down.
Second vid was a sparring match it looked like. Some back and forth not much special. I only watched a minute or so of it though.