I don't know if that's true, in the abstract. I definitely read somewhere (and am too lazy to look it up now -- anyone know the source) that when NYC taxicabs all installed antilock brakes, accident rates went down, and then over the next few months gradually increased to pretty much exactly the same rate as they had before when drivers unconsciously recalibrated their driving habits to their level of risk tolerance. So as much as people like to say "I want to get a FIKI airplane just in case; I'll never fly in ice," it will probably affect your willingness to fly *near* ice, etc. So I'm skeptical of someone buying a safety feature with the claim that it will have absolutely no effect on their personal minima.
(All that said, I don't have the money for a parachute, but would strongly consider one if I did.)