Will the Genesis Starliner, apart from the other mentioned roles, will the chassis also be used for a Medical Ship being larger than the Cutlass Red but smaller than the Hope-class Hospital Ship?

We have not done any work on a medical variant of the Genesis Starliner. With modular medical equipment available for ships like the Cutlass, it's something we expect players might build themselves. We have done work on a prisoner transport variant, which would be a good base for such a ship! (And a great setting for Con Air... in Space!)