Earlier quoted context omitted.
"Work" here I would define as exchanging time for money. Volunteering is not work. For me personally, I make a distinction between "working" and "creating". I will always want to create (a very broad term), but I will not always want to work. In fact, I don't want to work now; I only want to create. The best is when I can exchange my creation for money -- then it is no longer work.
No, work is effort expended to achieve a result. Whether it's paid or not is irrelevant, and many people work harder for free than they ever do in employment, because the incentives are right.
It also comes across as very out of touch and privileged, because unless you have a relatively cushy job, you would definitely not see the difference between being paid or not as irrelevant. There are plenty of people who have to work very hard just to make ends meet, be it physically exhausting work, or repetitive and monotonous work. And they will not have the capacity to work even harder once they clock out of work, no matter the incentives, because they'll be spent and unable to.