I think that private meant the villas have their own balconies, not a common porch to all. It's been too long since we've stayed at VWL or BCV, I don't know if they have privacy screens. We were at BWV recently and we could have reached across the fencing and shared snacks with our neighbors, no privacy screen at all. Yet, in October we were also at BWV and our balcony was really boxed in.
rwc