It depends on your system.
If you're using a small diameter wire rope with high installation tension, or the bracing is near vertical, you may be able to neglect self weight and sag.
If you're dealing with larger diameter wire rope, low installation tension, or bracing geometry that is significantly horizontal, self weight and sag become pretty important.
If you are relying on the wire rope bracing to provide some sort of stiffness to your system, I would almost always account for self weight and sag.
Finally, in most cases it is more practical to define a sag requirement for installation than a tension requirement. Sag is easier to measure.