Although we were both privately educated, and sent our eldest to an independent boarding school, we're not doing independent education for our younger 3, because finding fees and negotiating transport problems have proved to be just too stressful, even though we are in the top 10% of earners nationally.
The local independent schools have their collective head in the sands at the moment IMO, and are very unsympathetic to the modern condition. They just keep borrowing money and building more and more flash facilities, for no obvious purpose other than vanity marketing, and this puts the fees up astronomically. They also expect parents to keep borrowing against their homes or fleecing grandparents to cover fees, and frankly those days are over.
With regard to transport, they still expect women to be sitting on their backsides all day, poised to do school runs at wierd times, and they haven't taken on board the fact that so many mums work now (in many cases to cover the school fees). Similarly they still have protracted school holidays that fail to take into account dual career couples. We have also noticed that the private school social pool has shrunk dramatically, and we just don't relate to most of the other parents any more.
On balance, we just didn't think that continuing to spend that kind of money was academically or socially worthwhile, because we weren't convinced independent schools made that much difference any more.