"For most children it's a manageable childhood illness. A small minority die from it."
It's an interesting version of the debate around vaccines. Given that all medical procedures carry a non-zero, even if infinitesimal, risk the optimum strategy for an individual (in best "tragedy of the commons" style) is for you to be the only person who doesn't have the vaccine. Some anti-vaccination, er, enthusiasts latch on to this, and twist it into a conspiracy that places the health of the mass above the health of the individuals (in that herd immunity benefits the herd more than it benefits any single individual). They're wrong, I think, but governments do have a bad track record of seeing individuals as collateral damage in larger campaigns (ie it's OK for 1 person who wouldn't otherwise have been harmed to harmed if 10 people who would otherwise have been harmed are protected).
Chicken Pox may be the reverse. From a public health perspective, a downside of vaccination lies with the herd (the increased risk of shingles), and it's probably a greater threat than the risk to the individual. So if all children receive the CP vaccine, the number who won't die or suffer serious harm who otherwise would have done may less than the number of adults who will be seriously affected by shingles, who wouldn't have been had their immune system been regularly challenged by CP in the young population.
One anti-vax argument, which I think has a certain amount of logic to it although I think it's hardly moral, is "why should I expose my child to risk in order to protect people I'll never know?" Measles, for example, it mostly a risk (in the sense of serious harm) to the immuno-compromised and otherwise weakened, who for various reasons can't be vaccinated, so the risk to people who are able to receive the vaccine from measles is less than the risk to the total population, while the risk of the vaccination (tiny though it is) lies solely with those able to have it.
But here it may be the reverse. So having the vaccination becomes the selfish, my child's interests over the population at large, route, while not having it becomes the selfless, OK chicken pox is a risk but shingles is bad for granny, position. The numbers aren't clear yet, but it'll be interesting to watch it shake out amongst campaigners.