I'd bet a sizeable proportion of people who have ever bought a house believe that private sector lawyers can be what you might kindly describe as 'inefficient'. And that's just for starters.
I've worked in the private sector, for charities and voluntary organisations and in association with the public sector (never directly for the public sector). IME bad management and inefficiency occur in all of them. Just as good management and efficiency occur in all of them as well. But much of the inefficiency in the public sector is imposed - by stupid self-defeating 'cuts' or failure to invest.
Apparently one of the reasons the Army couldn't send a soldier in Iraq the right pair of boots is that their stores and stock checking systems use computers dating from the 1980s that don't talk to the IT systems of their suppliers. Obviously it's not just about boots, it's about whole ruddy engines and far more, but it's a specific example - they sent him a pair two sizes too small. He didn't get a pair that fitted until after his tour of duty.
Stupid cuts mean sacking youth workers who help to give young people at risk of being drawn into gangs an alternative. So we can expect crime rates to go up. Which will cost everybody a hell of a lot more in the long term, in monetary terms but also in injuries, in screwed up live and avoidable deaths.