LOL, only a lawyer could say that they categorically don't like symmetrical body styles and then give a laundry list of exceptions with very good reasons, but I must inform you that the LP Jr doublecut is NOT symmetrical. Almost, but not quite. Top horn is a teensy bit larger/longer. Other doublecut type solidbodies are symmetrical (e.g. The Punisher, which I also think is not appealing, but not due to symmetry).
hold on a sec....
... here we go:
As for Rippers, those are MUCH more obviously not symetrical :
I understand this detail easily escapes a busy attorney when looking up from the brief on his desk at a sea of every Gibson bass ever, in a row, partially obscuring each other, but may I challenge you to a friendly game of pool; I'm feeling lucky.
It's OK, you don't have to be enamoured with the LP Jr body shape, but it's got nothing to do with symmetry.