Thanks much for the detailed explanation Bronco! This clears up any confusion I had on this. It makes MUCH more sense to me nowDan, put very simply, the lux rating is a measurement that it is of primary importance to us flashaholics when we're trying to determine how far downrange a light can effectively project its beam. By using a lightmeter, a measurement of the luminous intensity at a single point in the brightest part of the flashlight's beam (usually the center of the hotspot) is taken. It tells us nothing more, not even how large in area the hotspot might be at that distance - only how intense the light within the hotspot is at a single point in space at a given distance.
Of course the taking of lux readings needn't be restricted to just the area within the hotspot. You could just as easily measure the intensity of the spill portion of the beam by aiming the hotspot slightly away from the lightmeter. But nine times out of ten, flashaholics want that hotspot centered on the light meter so as to be able to estimate the potential throw of the light.
The lumen rating, on the other hand, is simply a cumulative measurement of the total amount of light that a flashlight (or in some cases its emitter) is putting out in all directions. A specialized sphere is the preferred device for measuring lumens because it, unlike a lightmeter, is capable of recording luminous intensity at many points simultaneously, effectively capturing and measuring all the photons that are being emitted out the end of the flashlight.
Thus it is, that through the use of larger reflectors, optics, aspherical lenses, etc., you can easily have a situation in which one light with a tightly focused beam and high lux rating is easily able to out throw another light producing many more lumens, but with a less focused beam.
Take the example of a mini maglite. If I turn it on and adjust the reflector for the tightest beam, I could shine that hotspot on a lightmeter several feet away and maybe get a lux reading of 1000 cd (an estimate made strictly for illustrative purposes). Now, if I completely unscrew and remove the head of the flashlight using it in candle mode, I may only get a max lux reading of 50 cd at the same distance. In both instances we have the exact same batteries powering the exact same bulb putting out exactly the same amount of emitter lumens. But the luminous intensity is drastically reduced in the second instance because there is no reflector to focus the light energy.