Healthcare may actually be one of the limiting steps for Asgardia. This egalitarian society with inclusive policies will come up face to face with the reality of remote healthcare and limited resources. The population proposed initially will not sustain a sizeable healthcare facility, a clinic or two yes, but you just won't be able to have anything resembling a hospital initially without huge waste and redundancy.
Ethical questions will need to be addressed too like who is medically fit/unfit to join those in space and what constitutes "fitness to fly"i the Asgardia context.
Take Multiple Sclerosis for instance, do you take people with MS knowing they are likely to deteriorate or do you restrict their rights because of a condition for which they are completely blameless, and stop them from having the opportunity to make a significant contribution? What about someone with a single episode of demyelination (the pathology behind MS) who by definition do not have MS but are at significantly greater risk of having subsequent episodes (and progressing to MS).
What about genetics? One of the simplest to think about would be breast cancer gene (BRCA1 and BRCA2) carriers, these VERY strongly predict breast cancer risk- do you screen for those before taking anyone? Do you screen the men too who may passing it on to their offspring (and who are themselves at higher risk than general male population of developing breast cancer)? If we are going to screen where do we stop? Do we stop women who carry X-linked diseases, who themselves will never have the genetic condition but who have a 50% chance of passing it on to their male offspring?
When does screening for initial pragmatic reasons due to limited healthcare resources become eugenics?
The ethics of this is fascinating and may well get controversial.