I've played with a few of the Kershaw Random and mini-Tasks, and have found the mini seems to have a nicer opening. I never had a problem even coming close to being cut, but that partly because I'm used to my Kershaw Liner Action which, although not a Speed-Safe, requires that you put a quick, little push, then let it go. The blade will snap the rest of the way by itself. If you try to push it all the way, you will at best be jerky, at worst, as said above, chase it with your thumb and get a nice cut.
In fact, though I'm not at the moment planning on buying one of the "Task" series, I think the Speed-Safe system is a great innovation and nicer (and legal) than an automatic.
Jim