I prefer them for a few big reasons
1) generally much more solid wall (at least BowTechs and other draw stop designs) vs. Dual cams & Hybrids. Can't beat a limb stop.
2) Best singles still have less recoil & noise vs. the best duals & hybrids. For those who shoot a ton of arrows at higher poundages (i.e. not target bow weights) and for those hunting this is a big plus. I have a 2004 CPS licensed Hybrid in my possession right now that has a big brace height and IBO's about 275 FPS at my 29" AMO draw length. It should be a smooth shooter (it does draw smooth and is very shootable), but unfortunately its extremely loud and despite a parallel limb design it also has far more recoil & vibe than any single-cam I've had in the last 3 or 4 years. Hard to beat singles for comfort at the shot.
3) Perhaps most important to me is how rock solid they hold on target. Some duals can be tiller tuned to get them to hold supa- steady but it's generally a big PITA unless you luck out or have 100% perfect shooting form. Hybrids (regardless of manufacturer) are definitely better out of the box but still not quite as good... at least in my hands.
4) better string materials & more refined current cam designs have pretty much eliminated any big issues I have with them.
That said, If I found a dual or hybrid cam I liked better on a platform I liked better I'd shoot it. So far I have not found any. If I wasn't shooting BowTech singles, I'd be shooting a Mathews HP cam or possibly one of the new PSE NRG cam bows such as the Scorpion or Venom.
Different strokes for different folks.