hmmmm........not quite. This is why Gensen's question needs to be reframed somewhat because all that happens is that spending goes through cyclical change depending upon the state of the country's finances and the funding avaliable. A public heath system will absorb any and all cash offered to it irrespective of wether it needs it or not. If you have a budget that can only offer an aspirin, well then, that's what you're gunna get, alternatively if the money's avaliable so that everyone gets an annual brainscan then you'll get it.......up until the cash runs out.
This is what's happens in the UK to some extent - we've had it "good" for the last decade, all the windows have been washed and the wards have got toilet paper but now its talk of cuts again.............
If the country is not going bankrupt it would not have to cut things like toilet paper.
Now, I know it is true in British Columbia, and other parts of Canada, as well as France, and most countries with single payer programs, that even though it is technically against the law more private clinics are being built, and the government is encouraging the use of them since the State hospitals, and clinics, are filled beyond capacity.
Similarly, in Britain they had such an overflow of patients that they had to pass a law requiring that no one could wait for more then three hours in an emergeancy room to get service, so now they make them wait in ambulances till there is room in the emergeancy room. Thus their wait for emergeancy service could be as long as 6 hours whereas it is 45 minutes in the US.
Now, we could get into how single payer countries are requiring those who can afford to do so to buy private insurance.
Single payer just can't work, and it has already been demonstrated here in the States that as more government money is spent on healthcare the cost of priovate insurance will become too expensive for the average person to afford, thus we will have a two group system where only the wealthiest of the wealthy can afford insurance, and they will inevitably get the best care, and we will be right back where we are now.