For that you have a rope, that's the objective part...you would not climb (i hope) an overhanging wall.

>little injuries sliding down a shallow wall

Those are often not "little" the rocks rip you apart, and when you stop you look not human anymore (a bag of flesh)...happens often at glaciers too.

Oh, but in the alps there are ways with a metal ladder, where you indeed "walk" a overhanging way, without rope.

Not for everyone obviously.

You have steelropes or hooks there too and a via ferrata set with a shock-absorber and a helmet:

https://en.wikipedia.org/wiki/Via_ferrata

And if without securing...even a bigger objective danger for you to decide if you can do it, that's the point.