Ever seen DMSO solidify upon cooling? I wouldn't even call it vitrification, it obviously has macroscopically large crystalline domains. It would be like putting rocks in your veins. I mean it kind of works fine for single cells because the failures* can be treated as a statistic, but anything on the scale of organs will become damaged just too badly.

* See e.g. what happens to frozen sperm cells: "chromatin disruption through protamine translocations, DNA fragmentation, and lesions to genes involved in fertilization capability and embryonic development [...] are known consequences of the cryopreservation process."