It is true that people naturally discriminate against short men. It starts already in Kindergarden and high school, where the tall guys are the one that all the other guys want to be friends with, become the leaders, and all the girl are attracted to them.
I personally do not believe that tall men are nicers, smarter or better. However, even I have noticed the following: I saw a men sitting in a chair and talked to him, and thought he was good looking and smart and thus had high respect. But as soon as he got up and I saw he was much shorter than I expected, I could feel how my respect somehow decreased. And the exact opposite has happened again. So even though I rationally know this does not make sense, this is what naturally happens. So I believe height discrimination is something hard wired into our genes.
However, on a societal level finding ways to increase the height of the population does not solve the problem, because it is height of an individual in relation to his peer group. So for example, a man in North Korea, who is 5'6 might feel happy about his height, because he is taller than average, while a man in South Korea who is 5'7, might be unhappy about his height because he is shorter than average.
That also means that LL is no solution to the problem of height discrimination, because as some people become artificially taller, everyone else "suffers" from the increase in the average of the population. For example, imagine that 20% of the population do LL, then the people that were before close to average are now feeling really short and they also want to do LL, increasing the average even further. Finally, everyone does LL and everyone is worse off because they have to undergo a painful procedure but as the end result are comparatively to other the same as they were before.