Shika could probably bait them into it, like he did to Temari. And to clear up the whole "Tired" thing with Shika vs. Temari, he was tired cause he used the kage mane for an extended period of time.. Something I'm sure the jutsu was not meant for. He wasn't tired from the beginning of the match, just unwilling, like always.

I'm not sure why he didn't do it but in the match with Temari he could have used his own movements to make Temari fold her fan up and bludgeon herself. Or even stand behind it and bang her head onto it. Wouldn't cause any harm to himself or anything, though he'd get a bit of a jolt being forced to reel from the hit. Unless of course he did what he did to Kin and let the kage mane go right before she came in contact with the fan, using her own momentum to make sure she hit while he didn't..