i'm not an expert, but this is what i little i know..
double VANOS is a continuation of the technique honda first coined as a V-tec. back in the day an engine only had one cam shaft setting, thus at whatever engine speed, the valves would lift up and down at pre-determined timing. this is good during lower rpms, but at higher rpm rev ranges, the engine needs more air to be pumped in, or less, (can't remember, but i think more" to get optimal power.
the original v-tec engines and a second set of cams that switched the profile at higher rev ranges to let engines perform better at higher rev range. ie: extracting more out of an existing engine, thus honda was able to get insane hp from a 4cylinder w/out a turbo. not to mention that sweet v-tec scream at the upper ranges.
the latest seems to be the infinitely variable cam, which likes of BMW's double VANOS, toyota's V-tti, etc. they allow engine to perform at max perf at any give rpm range by allowing jsut right mixture of fuel, air and all that good stuff to make your engine work to its potential. and is supposed to eek out every ounce of power the engine is capable of making.
yea, that summed up what you guys mentioned above also.. ah well..
only thing i could think of picking a non vanos engine would be the tunability of the engine, and the vanos setup probably makes things more complicated for him imo..