Lougle and Crunchy those are my feelings too. It seems such a simple, common sense approach - To know that everytime she does x y happens - the problem is, what is 'y'? What does happen? She will be removed from the room, her anger will escalate, an adult will eventually persuade her to come and do a nice activity, she gets 1-1 positive adult attention. It does seem that she is rewarded for the violent behaviour.
Crunchy she does receive rewards similar to your suggestions. Most of the 'consequences' on your list would annoy her though. If you show a sad/disappointed face, she will react badly and often escalate the behaviour in an 'I don't care' attitude. She will not usually willingly leave the group when told, or stop hurting when told. She will not sit out of an activity. She just won't do as she's told. We don't inform parents if she doesn't behave well. We used to but parents complained to the head that it was very negative, so we don't now.
When she has everything her own way she is fine. If she can be first to choose, get the most stickers, have the adults' attention, be at the front of the line, be the 'helper of the day', etc. she is a happy and calm child. It is sharing play equipment, resources and adult's attention that she struggles with mostly. If another child complains about her she hits the roof, she just cannot handle criticism at all. This is what has led to people 'pussyfooting' around her I believe, including her parents.
Wen the other children are marvellous in the way they try to help her. They always forgive her and offer their friendship. They never hit back. However, they are starting to leave her out a bit now and give her a wide berth. If they disagree with her, rather than argue, they leave her alone and walk away to play with someone else. Of course, this does not help her low self-esteem, so we try to encourage them to include her but they don't have to if they don't want to.
It all seems rather ridiculous looking back over it all. Your suggestions are wonderful and I don't understand how we can be handling this so badly. She is only with me for a few more weeks but I would love to be able to help the next TA by getting some strategies sorted and some consistent boundaries, somehow.