Sequence Editor belongs to the scene.
The settings shown are on data that belongs to each scene. A new scene will use blender's defaults.
Python console. Create a sequence editor in the context scene. It is of type
bpy.types.SequenceEditor. The value for
overlay_frame is shown
>>> sed = C.scene.sequence_editor_create()
To have the same settings in another scene, would suggest creating a new and copying the attributes of the old, or copying the scene and unlinking from it unrequired data, including strips. Be a good candidate for an operator with presets.
Alternatively save it as a scene in another blend and append the scene each time instead of creating a new one.
Another option would be to save a workspace template or startup file with the settings desired.