Depending on your insurance here, you might also not get to choose the obstetrician who delivers your child. Or if you get stuck in another kanton, you might not have the cover to be "repatriated" to your home kanton, so there are swings and roundabouts to consider...
Overall, I do prefer the Swiss system to the NHS, primarily because you contribute to it, so tend to think twice before spending and it is less open to abuse, and for the second reason that as a result it seems more efficient - but I've no stats to back this up.
The concept of the NHS, though, is rock-on solid and to be lauded.
Indeed, my primary reason for prefering the Swiss system is more a statement on society and its wastage than about the NHS itself...
Working in the healthcare industry, I also have to point out that the NHS is hampered by NICE - a real double-edged sword, which can result in no choice and in some instances no treatment...
To stop spur of the moment suicides? ( )
I hate the nanny-statishness of having to buy limited packs of paracetamol and ibuprofen. ( Edit : here and in the UK)
There's a fair few quacks in CH private practice, miss-treating, selling pills and potions, so don't think it doesn't happen here.
Similarly, as soon as you leave the GP and head for specialist treatment, it costs an arm and a leg, and without insurance more people wouldn't be able to afford it. Indeed, because insurance covers most things, I do believe that this is just another example of price fixing in CH. So while with the UK the people waste the money, in CH the Drs overcharge.