I swapped the generic clear tubing pictured above with Tygon fuel line. It looked promising and then it began it fail. The tubing seemed to sweat brake fluid. I like clear tubing in this application because it shows fluid along with air bubbles. The air bubbles can be removed by simply un-mounting the reservoirs and holding them up high until the air bubbles go away.
I am hoping that the version of Tygon tubing for brake systems noted below resolves the issue. I will report back if this chemical resistant version of Tygon corrects the problem with brake fluid sweating.