I think the main issue between LuxIII and LuxV in terms of throw comes down to the complications that a four-die surface presents for the guy trying to design optics or a reflector to take as much of that light as possible to throw forward. Remember that the LuxIII, when it comes down to it, is a very small SINGLE point source, or can be considered as such for the sake of calculations for the angles of reflection when it comes to optic or reflector design, which makes the job somewhat easier.
The LuxV is less a point and more a plane, especially since there are four independent dies which may vary in terms of their output, and there's a lot more radiating area to have to handle, so that means you've got to figure on some of those angles being less than ideal for projecting that light some 300' away. Performance is going to vary a bit on each die, and while that's not a MAJOR complication, that is something else one has to figure - especially since with all that area to concentrate the light for, you're probably going to lose some of it inside the head, even with a TIROS system.
With the proper optics (not reflector - I really don't see any way for a reflector to work right without some parts being transparent on one 'side' and reflective on the other), you may get nearly equivalent throw to a LuxIII... but it's going to be very complicated to design the optics for that, and it might be more cost effective to use several LuxIII's in an array to project the same amount of light at the same point, with each one set into a properly designed reflector or optic whose combined focal point illuminates the area you're going for.