It's a similar isolating feeling on Pitcairn. There's no air access so I arrived via a two day boat trip from Mangareva. Once there my boat left leaving me with no way off for the time I was there until another arrived to pick me up. You become very aware of how problematic a medical emergency would be.
For an example of such, here's one travellers tale of their medical evac from Pitcairn: http://jimmyaroundtheworld.blogspot.com/2010/09/life-and-dea...