Advanced Symmetrize offers more flexibility in terms of reference points for symmetry. While the standard operator only uses the object's origin, Advanced Symmetrize allows you to use the 3D cursor, the center of selection, or the active element as a reference point. It also offers the option to work in local or global orientation.

A key advantage of Advanced Symmetrize is that it doesn't alter the object's origin. This means that modifiers like Mirror, which depend on the object's origin, are not affected by the symmetry operation. Advanced Symmetrize performs its calculations based on the selected reference points (3D cursor, selection, or active element) without needing to move or reorient the object's origin, thus maintaining the integrity of existing modifiers.

Yes, one of the advantages of Advanced Symmetrize is that you can apply it to a partial selection of vertices, edges, or faces. This allows you to perform more precise and localized symmetry operations on your model.

Yes, Advanced Symmetrize offers the option to work in both local and global orientation. This is especially useful in two key scenarios: 1) When working with objects that are not aligned with the global axes, allowing you to choose the most convenient coordinate system for your symmetry operation. 2) It's particularly valuable for objects that are already positioned specifically in a model, with a rotation and position that probably wouldn't allow working with Blender's standard Symmetrize. Advanced Symmetrize allows you to apply symmetry without the need to reposition or rotate the object, maintaining its position and orientation in the scene.