Depends how much perspective they have though I'd have thought? I've done a number of bits of work in the public sector, and the amount of wastage was incredible. One job, for instance, there was a guy down from me who was asleep at his desk for about an hour before anyone even noticed. A more recent one saw a bunch of people (probably paid comfortably over 40k a year) take 12 months to build a simple Wordpress website. Speaking to people at the time, the vast majority had no other experience than in the public sector, so I'm sure they'd say they work really hard and really effectively, but they have nothing to compare it against.
Now, before the usual suspects misread the above, I'm not saying that everyone in the public sector wouldn't know a days work if it bit them on the bum. Certainly not, and I'm well aware that many/most are both incredibly well meaning and hard working. It could be made way more efficient without costing any more money.