Arena logging off problem. Do they lose points?

I am playing a lot on arena and i know when someone leaves they leave A.I behind. It happens really often to me. Game loses kind of challenge to beat someone, becouse you are fighting with a bot that you can just kick until they die (bots use moves on purpose [kick beats roll]). Which is starts to be boring after a while.

Here is my question: Do these players are charged off theirs points?