The level of inbreeding on that island is quite scary. Although if they purged a lot of the deleterious alleles from the population, if they outbred with others, they could produce much healthier offspring and a lower likelihood of various genetic ailments.
And not the general statements that have been made in this thread, but something that would pin down a specific numeric relationship between population size in humans, and health.
EDIT: and for reference, the prevalence of Asthma may be purely due to the founder effect, not an effect of inbreeding per se. Two or three of the original settlers suffered from asthma[0].
http://onlinelibrary.wiley.com/doi/10.1111/j.1365-2222.1974....