Not as good as the NHS:
Old system to see a specialist:
See GP, GP sends referral letter to hospital, appointment made in conjunction with hospital via letter, go to appointment.
New system to see a specialist:
See GP, GP sends referral letter to central referrals hot line, they send a letter to me telling me to use internet / phone to contact central booking. Try internet which says no appointments available, phone up appointments hotline which also says no appointment available but that they will send a letter to the hospital to contact me to arrange an appointment. Get letter from hospital asking why I have missed the appointment booked via the central booking system, receive letter from hospital 2 days later for said appointment 3 days earlier than the letter was sent. So phone hospital, book appointment they say this has been a common problem since the upgrade, NHS then sends me private.
Private, letter sent 2 days later for appointment following week, MRI scan 5 days later, results following week, op 6 weeks later, would have been 3 but surgeon was on holiday.
Previously had to wait 12 weeks on the NHS to see a specialist with 10 weeks to use the MRI and the results 8 weeks after that.
In private industry you get a person doing more than one job and will get cross over. Experience of working in both (note experience) is that there is inefficiency in the private sector but the public sector is far worse.