An option to enable symmetry by default in sculpt mode when creating a new object

After adding a new primitive, when we switch to sculpture mode, the symmetry is not activated. The symmetry being an option very used in sculpture it would be nice to be able to activate it by default. This would avoid unpleasant surprises when you start sculpting in orthographic view and spend your time activating it over and over again when you have to create several objects in a row.