When you do them on the elbows you make the lever so damn short, it's not worth bothering.
You should not do wall runs until you can do a stomach to wall wrist HS.
Stomach to wall HS before back to wall because in back to wall HS, you have to kick and unless you are strong and tight enough in a wall HS, you will rebound off the wall and crash on your head.
Simple solution for wall HS is not go any higher than you can handle.
Back to wall HS wall runs are tougher than stomach to wall if there is an angle in your shoulders (flexion).
One of these days, you will learn to build your wrists slowly or you'll never get anywhere.
It would better for you to train Headstand than elbow HS.