Why ? (out of curiosity, I don't see why being paid would make any difference if the level of authority is the same). Just trying to understand problems to refine the idea.
I wanted to avoid it being an overburdened position that results in tester fatigue in the end. I see the tester admin or QAmaster position being more of a 'grease' kind (exercising authority only on testing errors or resolving a status quo), rather than a heavy-batted, control-oriented one. If we DO have a group of people who can (on the long run) predictably dedicate an amount of their time and are capable to do this - all the better !