I have also seen deteriorated rubber lines that are delaminating inside, which lets them twist and "apply" some hydraulic pressure when turning, cause this problem. It's usually the bottom hose.
If the Honda hoses are too expensive for your taste, contact Z1 Enterprises' "Tech support" people (I do it by e-mail from their site) to have them figure out the right hoses and banjos that they sell: these newer-technology parts are slightly smaller in diameter and stiffer, which improves the braking forces. They even sell the right grommets to fit them into the Honda brackets. In the future, they will not crack or delaminate inside, so they make a good long-term investment.