Hi I propose switching symmetry from a per object setting to a global setting something like this
Being more “passive” would make some important operations possible:
︎insert clone tool: another object’s local pivot could be used
flip one object on the local axis of another
use another object’s symmetry easily (for example painting the scale around a dial on the surface on a device)
I think besides some downsides (having reenter the axis settings) this would offer added features.