How does DNA resolve on size exclusion resin?
It works pretty well and can be used to desalt DNA. The DNA runs a bit different than proteins since it is more a long stretched molecule while a lot of proteins are globular. See this references (the first is about the behaviour of DNA on superose):


Size-exclusion chromatography of DNA restriction fragments. Fragment
length determinations and a comparison with the behaviour of proteins
in size-exclusion chromatography.
Size exclusion chromatography of DNA and viruses: properties of
spherical and asymmetric molecules in porous networks
Size exclusion chromatography of plasmid DNA isoforms