If that is the case, funemployed would be the more appropriate term.
To me sabbatical meant, taking time off to focus on oneself or ones own pursuits, however I didn't realize there was a work or growth related connotation to the word.
Sabbatical is often still associated with universities where students or professors take time off from their regular duties to pursue some other activity in a remote region. This is typically, but not always, associated with their normal duties, such as a biologist that lives in the rain forest for a year to conduct research. This made more sense in the past, when travel was long and expensive.
It can mean just an extended break from work, but the connotation to most is that the break is used to engage in another project that your day job constrains in some way. It also implies that you will return to your previous duties afterwards.
The trend is to call a temporary leave of absence from your job to do whatever a "career break."
This may be biased by my academic background where a sabbatical year is typically one where you would have no teaching duties so were free to travel to another university to work with a new group, explore a new field, finish a manuscript, etc. Expectation is that you are working, but not your routine work.
I've heard it used similarly outside academic contexts and when it was not something you were contractually guaranteed - e.g. "I took a year off my job to finish my book" , but never in the sense of "I took a year off my job to go surfing".
So i guess I think of it as a formalized break from your work routine where you do something else productive with the expectation of going back to that work afterwards.