It's the cycle of back pedaling and damage control that feeds the perception of her as dishonest. The Republicans attempted similar smear campaigns against Obama with the Kenyan Commmunist birther nonsense, but he was able to deflect it. Yet Kerry and Gore both fell to it, and Clinton has yet to rise above it.
It's the constant smears & innuendo, the ceaseless spreading of FUD like your own that feeds it, along with the beating of dead horses as if they were still alive. All this "concern" for Clinton's health is just a new platform for the venting of the same old bullshit.