The patchy result on the male beard is common and I have had it too. I have these photos from January 2007 after about 8 treatments with an Alex (hurts like HECK!). The photos are about 6 weeks after treatment at which time I would see much of the shedding areas regrow dark hair.
After another two treatments, I still have a “goatee” (as the chin is very difficult to kill off) and far fewer patches of dark hair along the jawline. I cannot say for sure if the patches can be defeated with more laser time, but I am still trying. The regrowth is certainly getting slower and several of these patches have not regrown (10 weeks after tx #10). I do not consider these to be “missed” areas, just more stubborn hair (due to growth cycle, root structure, or whatever).
Anyway, if I was trying to get reduction, I would definitely be upset as it cannot be done for me. I am now hoping for significant clearance over most of my face. It sure takes LOTSA treatments!
Perhaps the pubic and male facial hair (both being hormone driven) are similar and the LHR gets similar results. Your pubic hair DOES appear to have a potential horizontal “stripe” which could be a “missed” section during treatment. I have noted a similar patchiness on my brazilian as well (treated with a Diode laser). I am currently letting it grow out a bit so that I can better assess the amount of hair and any discernable patterns.

