Not conclusively proven but there have been studies done that suggest taller people earn more money [0].
Taller people are also generally considered more attractive.
So there are at least 2 factors where taller people have an advantage in life.
0: http://www.businessinsider.com/tall-people-are-richer-and-su...
That said, no girl I've ever met has ever said, "wow, I really prefer to date short men". Perhaps some of them have said, "he's too tall", but most of them prefer tall men.
Most men that I know tend to prefer women shorter than them. And yes, some of them have said, "she's too short".
So, while more height in men may be inversely correlated to health, it is certainly desired among the multi-ethnic multi-economic cross-section of people with whom the topic of height has come up in conversation.
I do not think it has been conclusively proven that taller statures are desirable. I would think adequate nutrient intake from a variety of food sources that leads to a sufficient and healthy height would be better than attempting to maximize for greater height at the expense of health in later years.