Tribunocracy should not broadly replace the present voting system until it is tested, witnessed, evaluated, and refined by experience.
Testing and evaluation can prudently begin at a low level with virtually no risk. For example, in many cities, the city manager is an appointed position. Therefore selecting the city manager with a Tribunal Convention will increase not reduce voter control. If a city manage proves unsatisfactory changing them is generally not a difficult process. Were city managers are not elected directly selecting one with a Tribunal process will not be seen as depriving anyone of their "right to vote".
Tribunocracy can first be introduced to replace exiting public voting were the present voting system is dysfunctional and not highly valued by most voters. For example, in cities or states were Judges are elected and not appointed, many voters don’t vote on or even recognize the names of most of the judicial candidates. Electing judges via a Tribunal Process may not be seen as the relinquishing of useful or effective process.