I think there are plenty of cases like Charlie's but usually, the parents accept medical opinion. I'm not sure why this case has aroused such a clamour, partly I suppose, because the right wing can use it to attack 'socialized medicine', big government, and so on. Far better that hundreds of children die because they can't get private insurance, or the money runs out.
It's ironic really that Charlie's parents haven't paid a penny, as far as I can see; still, what counts are parental rights, not children's.
On the other hand, the Tories are keeping quiet and not lining up with the right to life people.