Anyway.
NOTES ON THIS SITUATION WITH BARASUISHOU AND THE ALICE GAME ARE VERY RELEVANT, YES.
TYPICALLY, the Alice Game isn't initiated until all seven Rozen Maidens are present.
At the moment, five out of the seven (Suiseiseki, Souseiseki, Shinku, Hina Ichigo, and Barasuishou) are here. Suigintou and Kanaria are not. Yet.
SHOULD the remaining two sisters arrive, expect some epic fighting to commence.
HINA ICHIGO DOES NOT WANT TO FIGHT.
UNFORTUNATELY, she has to. So long as she has her Rosa Mystica, Barasuishou (or Suigintou or whoever else is taking this damned fight seriously) will try to take it from her.
Hina has been ordered by Shinku to do three things.
1. Avoid Barasuishou at all costs, but fight if you have no other choice.
2. DO NOT TELL HAINE WTF IS GOING ON.
3. Don't go out alone; always have someone trustworthy with you. (so expect to see Hina hanging around with Haine or Mr. Bubbles and Masha or Ky, etc.)
Hina will flatly refuse to let any of her friends get involved in fights between Rozen Maidens. If they try to interfere like Ky did, her priorities will shift from defending herself to defending them and getting them out of the way as quickly as possible. And, while she CAN fight, it's best not to be distracted while fighting Barasuishou.
... Ahaha. Hina will most likely warn her friends not to let Bara know they're friends with her. Her sister's already proved that she won't hesitate to harm humans, although this is a VERY big No-No. If this keeps up, Hina will distance herself from the people she cares about, in order to protect them.
If Shinku's Rosa Mystica gets taken, Hina is automatically affected through their link. So she's twice as screwed if she's not careful, pretty much.
Although Hina will fight, she won't try to take any of the Rosa Mysticas. She's only fighting to defend herself and those who get involved. SO THERE.
In the event that she loses her Rosa Mystica, Hina will cease to move. So it'll basically be like she's asleep, only winding her up won't work this time.
And you know the rest.