T19348 introduced a serialization strategy for TimeGeometries in the ItkImageIO for the mitk::Image class.

It seems to make sens, that itk-based-writer for image types (e.g. LabelSetImageIO, DiffusionImageIO) have the same behaviour/feature on such a basic level (escpecially LabelSetImageIO, because 3D+t is a probable situation there). I think the best would be to generalize the code introduced in T19438 in this bug and refactor the other writers to use it as well.

But this must be discussed in more detail, before a implementation can start.