What do you mean? That's exactly how most residential stairs are built. Two to four stringers with risers and thread boards attached to them.
Granted, they will draw a template on one board and copy it to the others to make the stringers quickly well before mounting anything.
You add a serious amount of un needed complexity by using brackets described.
The rise is typically the only thing you need to know in order to calculate all other dimensions of the stairs.
The main difference between how the author describes the construction is stringers get cut, this description skips that step.
Things like tread depth, riser height can be modified too if needed.