Tempered glass is used on door because of it's safety features.
Loose pivot and patch fitting that hold the door in position will cause the door to fall / collapse or hit on the other door, thereby cause breakage.
Loose pivot and patch fitting will cause the door to "shake" : this is the 'danger' signal.
Worn-out floor hinge as indicated by grease stain surrounding the pivot will cause the door to fling / shut faster than the normal rate, thereby cause injury to people using the door.
Tempered glass door should not "shake" when you open it or fling when it closes. If you have this problem, attend to it fast.
These are the additional safety measures to take on top of having tempered glass for safety reason.