I don’t think avolition is as simple a matter as this, but as I go through it myself, this is very much as I experience it.
What happens is, that your thoughts, feelings, emotions, get tied up in this schizophrenic world of hallucinatory experience, and when it departs, it tends to take your motivation with it.
Now, I think there are analogous situations that people go through that are akin to the experience of avolition in schizophrenia, but not quite the same.
One could imagine a person doing what they love, cooking, playing guitar, fishing, hiking, so much so that their life revolves around it, and all of a sudden due to accident or circumstance, they are no longer able to.
They might go through a period in absence of motivation, akin to avolition in schizophrenia, because their thoughts, feelings, and motivations, are all tied up in this activity. When it is no longer possible, motivation can go with it.
What I find, is that when hallucinations come back, motivation returns, but it has lessened somehow, not as intense as it was.
Now why I say akin to, but not the same, is that whereas if someone loses their ability to do what they love, cooking, fishing, playing guitar, whatever it may be, there is usually still another form of motivation they can take. They could teach guitar, or start a restaurant, there are still other outlets to shift into. But when hallucinations depart, this transition is not as simple, not as obvious.