I don´t know exactly how that LSA thing goes, but I guess it should be something similar to what I know as VLA (Very Light Airplane), something between the ultralights and the REAL airplanes (sorry ultralighters, just kidding. I too fly them

).
If the conditions are similar and stuff, they´ll be way expensive, as Zane says, but be sure there´s always somene willing to pay for it. If the requirements to fly them are even lighter than to fly a 172, like an easier license and stuff, some wealthy men and women with more money than time or wishes to go to a school and spend some time there, will buy them.
Something like over here with the ultralights. The JAA airspace is way complicated, you can´t go from A to B not trespassing 1000 B or C class airspaces, you can´t go to certain airports on certain days because they switch from C to A class, you can´t get even closer to some others as they are A... to be clear, you have to be almost an ATP to fly a Cherokee here

. Then the license. You HAVE TO go to classes and sign your presence there every hour to demonstrate you took at least a 75% of the required ground school hours (I think it was 75%, but in any case...). There´s an examination session ONLY every two months, it is not in your airfield or even close (I had to drive 300Km to go to mine when I got it)lasting for two days, with 8 different tests to write, taking around an hour each and all that for the PPL. For the ultralight license you don´t need to certificate your ground school, the examiner comes to your school whenever you are ready, the stuff to learn is easy (for the PPL they ask you things like what kind of taxiway should an airplane wich distance between main wheels is 15 meters. A? B? C? D?) and then, you have to fly below the 900 meters altitude, so you can just go anywere, land anywhere if you get the permission of the landlord, fly cheap, no need of radio, no need of nothing. Many, but really too many potential private pilots took the easy option. Some ultralights are faster than a Cherokee (see the Storm, the Jabiru...), there´s always a ultralights strip near your final destination, so well, the money they spent on their fast ultralights (most of them convertible to VLA´s) is well worth it.
What I mean with all this is that if it´s easier geting to fly a LSA and easier to go places with it, no doubt they´ll be sold, whatever their price is.
Jose