Your method is rather similar as mine but your pics talk much more than mine on this post : Burr cube
beginnings are differents but last steps are the same .
So, this is a new method to solve bandaged wall and burr 4x4x4.
once again, why a puzzle has two names ?
Which one was created first ? Wall cube ? So the burr cube is just a pattern of the first one.
If you can solve one you can solve the other.
Or buy one, you've got both.