Superman is too much for Juggs in any battle, you'd have to really lopside it for Juggs to win at all. Supes can use a Theta Projection to battle and get Juggs helmet off, then whistles at him and KOs him with sonics. He really has an innumerable amount of ways to beat Juggs any given moment. That's the problem with Jug being so one dimensional.
I have no problem at all with Juggy losing to Superman if it happens with respect to their powersets. The sonic example you is a good scenario, would probably work. My point was that using bfr in this fight is impossible.
I don't think Supes could physically hurt classic Juggernaut, but neither could Juggy hurt Supes. At this point they are having a stalemate, but only until S-man uses his HUUUGE powerset. Versatility is his weapon in this fight.