Wouldn’t that depend on the system of magic, for fine nerve connections and preventive theraphy modern surgery and medicine would seem superior to many systems of magic already. In Cata’s world banecasting has some serious drawbacks and in @Havenstone 's one healing something significant literally costs the blood of innocents, the more complex the more blood you need and the more skill the mage needs. It wouldn’t surprise me if there are only a handful of mages in the Hegemony able to remove a brain tumor and the author has said as much for mages able to perfectly adjust their patients gender.
Of course on the other end of the scale we have universes like the Elder Scrolls, where magical healing really does seem to be superior. Sick? Just chug a potion of cure disease, horrific burns? No problem, just heal them.
Anyway the advantages seem to largely disappear the more advanced technology gets, but then again sufficiently advanced technology would be nearly indistinguishable from “magic” to us.
Quite right, no reason magical healing couldn’t be combined with more scientific approaches to medicine.