I will be the contrarian here and state that there is no treble or bass side concerning bracing. For the bridge it is different as mass and inertia can affect bass or treble strings differently.
The top does not know the difference between the treble or the bass side. What matter when doing asymmetrical bracing is to create an imbalance in the discrete areas the top is divided into (like when scalloping one leg of the x, and not the other). Traditional tone bars (as done by Martin, Gibson, Larson etc.) do that as well, and work the same for right or left handed guitars.

In all cases asymmetry is used in a classical, it consist in making the treble part stiffer one way or the other. Since the trebles are hooked up closer to that part, it is perhaps reasonable to image their energy excites that area first and only then travels towards the bass part and the overall periphery, all mixed in the vibrational soup? If yes, then switching the strings will delay and reduce some of the effect created by the stiffer area?