No, *you* see it now that it was pointed out to you above, but no, it still doesn't make sense, because the gold standard in this game is "characters path around obstacles" i.e. act safely, and in this situation they run across. And you don't have a way to enter walk mode aside from clicking a few feet in front of you. That is a failure of interface, not "aha you carelessly ran across ice". You're grasping at straws and it really shows. But hey, why bother responding to internet comments.
I just re-read your post, and I obviously misinterpreted it the first time. I was tired and thought you were saying something different. My bad.
