Exsanguination or Desanguination?

As your google search probably indicated, desanguination is used very, very rarely. Perhaps more strikingly, the OED doesn’t have a single reference to it, which suggests that it isn’t being used much historically, either. By contrast, the OED gives several citations for the word exsanguinate in the mid-1800s, so the word was certainly in use by 1900.

Could the difference be that, if one exsanguinates, their blood flows out of their body as a result of a wound; if one is a victim of desanguination, their blood is drawn out of their body and sucked in by another (the vampire)?