normally, there is a personal fit part and a case part:
I would prepare the personal fit part and think about your answers. However, I think it does not make sense to read something from your notes. This would not have a good effect.
The case is always individual, but you can use some modular structure blocks, which will help you to get a good structure for almost every case. I train my coachees, who have problems in structuring, with a special checklist for this. They learn structuring really quickly and effectively in this way. However, it also would not make sense to use some notes here. You should really learn the approach to use it effectively (also regarding your other interviews).
Thus, I think notes would not give you an advantage here. The relaxed atmosphere of conducting an interview at home will be your advantage. Good luck for your interview!