I suspect that Jeanne is becoming an Annular Hurricane. Annular hurricanes usually have an exceptionally well defined eye with a single donut of not very deep convection. They generate much stronger winds that the convention would suggest. Jeanne has weak but organized convection and a very well defined large eye.

It makes sense too, since Jeanne is under good environmental conditions and seems to be strengthening. The other thing about Annular Hurricanes is that they tend to be more resilient. However, Jeanne's convection could just be waning because of the dry air all around her.