It isn't problem.

Here, Moon and River are watching for their daughter with All-Seing Eye spell. Moon can use magic without a wand, so she can control Star this way. I dont understand why she didn't. Maybe because this is Eclipsa's dark spell. Or maybe she was really doing this. We'll never know truth. And, finally, Queen and King Butterfly watch Star's adventures like TV or cinema, because it is really interesting. This would explain why parents sent Star to another dimension and didn't worry about her safety - they monitoring every her step or action.