They aren't the problem as they are .01% of the population, but of course they are the ones that will be at risk to die. The bigger problem are the 100 or so asymptotic people that carry it around and give it to these people. Only way to stop the bug from wiping out those weakened for it is to make sure that the ones that aren't don't give it to them. As you stated the "I don't give a fuck" sorts will fuck up the process.
As Singapore has proven you can avoid letting people die and avoid it from spreading. Their population is right on top of each other as well...but they pooled together to stop it. I was supposed to be there this week...Doh!