Research has a collection of advanced medical theory that might help you out. A previous Rifter set down some notes before she vanished. Seems like she didn't have any reason to believe that illness worked very differently here than it did in her world.

And I agree. So.

[ That legitimises Cosima Niehaus, probably. ]

Sounds like magic healing has the potential to treat symptoms and not the cause. Which could prolong the time it takes for someone to get well, easy.