What is it like to be in a minimally conscious state permanently?

First, permanent is forever and that is unknown if it will be forever. There are people like her who have recovered. There was a fireman who suddenly "awoke" after 18 years. He asked how long he had been asleep and thought it had only been a few days. (He remembered being injured.) He had no sense of time ping at all. But there was another young man who was in a similar state for 8 years and had perfect recall of everything that went on around him. So it depends very much on what part of the brain is effected.