My sister in law (in Edinburgh) has some wooden terracing but it is done with vertical railway sleeper sized timber edge to edge (about 5ft above the lower level).
The way it was done was to excavate (where necessary) back from the face, stand the ‘sleepers‘ up and then secure them individually back with cables to small stacks of concrete building blocks. Then fill the whole lot in with hard core at the base to supply stability and drainage.
It’s been up now for 10+ years with absolutely no sign of movement. The face is about 20yds wide with a gap in the centre for steps.
I suppose that in the ‘Old Country’ we have more knowledge of how to do things properly – that is when we feel like it.