It's not quite that simple, unfortunately. The triple optic (khatod or carclo by the looks of it) is patterned like that partly to reduce beam artifacts from the LED's you can swap them out for different beam patterns if you want. The LEDs dies are physically bigger in said triple, this requires a bigger individual optic to focus the light Into something useable. I don't know exposure stuff, but it's probably got the xm-l sized emitters in there.
The quad you have as a helmet light is using a custom designed optic, as you rightly said the lower one will give you a long, narrow beam to illuminate down the trail, the others are there for spread. The individual optics are smaller because the LED dies are physically smaller, probably xp-g sized. These naturally throw more light down the trail and are easier to focus.
Most light manufacturers just use an off the shelf optic that fits the bill. Manufacturers have been known to tighten the beam up and throw it further down the trail because it's what people perceive to be 'bright'. Lots of lovely side spill costs lumens, lots of lumens, but a nice wide beam on the bars is the way I do it, a tight beam just looks like you're waving a light sabre through the trees
Now, your head is a perfectly stable platform. It stays dead level and true, for your eyes and that. So I run a spot beam on my helmet. It goes where I look, and I don't want the weight of a 3000 lumen light strapped to my head.