All it take is one willing LL patient to go out and tell his story. All it take is one curious journalist to want to write about it. Do I expect LL to become more widely known, to some degree...yes.
Do I expect the number of people who want to undergo LL increasing, sure it's very much possible, but I feel like it's still going to remain a slow linear growing pattern. Like I said 99.99% of the world population will never do this surgery, so really in terms of people going out and noticing LLers, that will remain slim to none. Another reason is that it can be hard to notice proportions in a given person; everyone is built so uniquely that I've but most given up caring about proportions when it comes to noticing others.
Whether the perception of LL is positive or negative is so nuanced it can be hard to explain. If a narrative of LL focus on how it helps short individuals (males or females) grow then it can go two fold: understanding as to why they would do it, or general mockery of such a procedure. If it also focuses on much taller individuals (regardless of region) getting LL then I feel like it would criticized as a wrongful alternative to therapy (I'm not saying I agree or disagree with this; keep in mind this is my sort of speculation). In general however, if you think about people with Achondroplasia getting LL it's a whole different beast. It would be much more understandable for them to undergo LL as it can be seen as way to function better in a taller world.
The last point is that considering what LL is, a procedure in which bones are literally broken into two, and then slowly spread apart, for LL to not be seen as "extreme" as it is, the procedure sort of has to evolve. In our current time, dealing with the pain, loss of time, and general risk of this procedure, LL isn't consumer friendly. So far the best fixes to these problems would a much stronger nail that is full weight-bearing and provides a painless (or near painless) experience. (So far the only real progress towards this would be the SYNOSTE nail currently being developed that has as supposed release schedule of 2017: remains to be seen). The other and more robust alternative would be if it wasn't so depended on mechanical tools, but on biologically sound and revolutionary methods. Like if we are able to reopen growth plates or insert growth plates into bones and let biology take the lead.
All in all I feel like LL could easily become noticeable by the general public if it ever picks up wind from a viral news story; what ever perception is given about LL would have to be argued extensively. But, I don't ever think a regular Joe who found about about LL would care to look into a crowd of people and think "...hm I wonder if that freak got LL."