Of course they do. They're competing mean girls in the 7th grade lunch room. The best they could have ever gotten to would be "frenemies". Hell, I'm surprised the altercation wasn't about one of them secretly luring the other one into a three way call to get them to talk shit about a mutual friend. They stopped emotionally maturing in middle school.
Except that time and time again, we've seen that the enemy of my enemy is my enemy's enemy, no more and no less.
They are not a friend, you do not devote resources to them, you let them fight and then attack both when they're weak, otherwise the one you prop up will stick a metaphorical dagger in your back the second you look away.