Drawing is hard to read no doubt about that.
I think the "power wiring" is correct he has a foward and a reverse contactor and drawing looks correct to me. What is missing is the control wiring and how the start stop switch as shown works. Bit more details that are needed are maintaining contacts on foward reverse relays and interlock contacts, overloads, limit switches etc etc.
Fully agree that a factory setup reversing starter would be good with the mechanical interlock between contactors. I like both the electrical interlocks and the mechanical.
It is a basic drawing and basically is correct and will basically work.
Dan Bentler