The author did not do a good job of spelling out the differences in the two types of happiness. In fact, she didn't even address them by their proper names (hedonic and eudaimonic). Identifying the two and really digging in on their differences would probably have made for a more interesting article - and certainly a more enlightening one. Just saying "people are unhappy, don't confuse unhappy with unjoyful" isn't en…
Since it's a humanistic concept, there are many ways to break it down and define it--some competing theories might not even agree with the hedonistic/eudaemonic split (some might find the division too simple, others unnecessary).
There's a lot of different ways one can approach it. For instance, the discussion gets even more interesting when we consider, on the hedonistic side, the world of Sadism--as concepts that seems diametrically opposed (pleasure/pain) intermingle quite interestingly. I would not be surprised if a similar phenomena occurs on the level of hedonism/eudaemonia--the pursuit of one may also mix with some of the incentives and pleasures of the pursuit of the other.