Would you still hear the sounds and see animation effects? And would the attack power show up as each creature attacked?
If so, then its a matter of how much you can retain or mark down. Or in Pvp, it could get to the point where people are recording each turn and playing them back.
It makes the game more about memorization than strategy. Or if you can't be bothered to remember then it introduces more luck.
I'm not a fan.