Hi ndoell, inflating doesn’t (necessarily) move vertices away from each other. It moves them along the Normals. This can cause a real mess, when surfaces start to get close together or even passing through one another. Smoothing will just make things worse.
As you are using (at least ) 2.81, you can use the (Voxel) Remesher instead of Dynamic Topology (not both at the same time!).