To be unemployed means that you want to do work for others, but cannot find anyone who wants you to work for them. In what way does Star Trek paint not being able to get what you want as utopia?
Though Star Trek, countless Americans also had vicarious access to mental health care. After a good episode, the world seems to make more sense, and one's outlook is more optimistic.
When you have the technology to replicate virtually any foodstuff to perfection instantly, restaurants become less common, and may take on different meaning (as more social hangouts rather than food-service places). Accordingly, the ST universe just might have enough bored, centuries-old El-Aurians looking for conversation and company to fill all the needed service roles there are -- and such roles are more relaxed and stimulating besides.