I don't have a survey but a lot of children are so affected. Fewer parents are now prepared to send children away particularly at a young age because we are better at psychology these days. Whilst I accept many teenage boys want to be with their friends i think they need a daily escape to their own families to give them a better sense of perspective and a different view.
My under was sent to board at 3 which is hardly credible now because he was jealous of his new baby brother. Thankfully our knowledge of psychology has come on a long way since the 1920s when he was born.
I have other objections to boarding too. Often the schools get worse results than the good academic day schools so you're paying for a worse education in many boarding schools although if it's Eton, Wycombe Abbey etc then that is not so - instead the day schools are comparable or just a little bit better. Secondly you lose too much parental influence and can be if you're a weak child influenced more by your peers into smoking, drinking and drugs than if you were home every night exposed to your parents' moral values. I did find more of my children's friends who boarded smoked for example than those at my children's day private schools.
www.boardingrecovery.com/
"BOARDERS is a group of accredited psychotherapists and trained counsellors who specialize in working with 'boarding school survivors'. These are ex-boarders whose emotional damage often lies hidden until at some point in their adult lives it re-surfaces in the form of depression, burn out, marital problems or alcohol/drug abuse.
They are often very competent, high-achieving individuals who may be acutely uncomfortable about asking for help. For the most part, they are unconscious of the fact that they are suffering from a specific, common syndrome treatable by a variety of psychotherapeutic approaches.
Adults who were sent away to boarding school from their family homes often learnt to endure unacceptably brutal interpersonal practices ... When these kinds of trauma emerge in adulthood in the form of stress related disease, inability to sustain meaningful intimate sexual relationships, and mental and emotional breakdowns, adults often don't even know how to begin to acknowledge their long-hidden pain to themselves, let alone talk to someone else (such as their medical practitioner) about their suffering. This, as we know from the psychological research evidence, often leads to further psychosomatic difficulties in terms of overworking to the point of burnout, multiple serious health problems, and drug and alcohol misuse.
-- Petruska Clarkson BMJ, Vol. 322, 31/3/01, reviewing Duffell, N. (2000) The Making of Them: The British Attitude to Children and the Boarding School System."