No they don't.
The predator knows nothing of adrenaline. It does not tenderise meat. And even if it did it could not make such a selective advantage to be the reason. The reason is the JOY of PLAY.
Natural Selection has led to carnivores loving the sensation of PLAY. pups and cubs from many species love to play fight. It is obvious how this is great training for hunting and finding your place in the pecking order.
This utter joy of playfulness does not stop with youth, nor is it restricted to your peers but enjoyed in the last moments of hunting.
The predator loves to play, cats and their mice, lions with their deer. It's called joy.
Ask a school bully.
Why do humans taunt and terrorize a victim before killing? Why that urge that reaches all the way back to the caves? Why did the Roman guards psychologically taunt Christ?
They get a kick out of it
It’s probably a statement of total dominance when killing just isn’t enough to convey the totality of the intent that causes the killing.