...all outward longwave radiation (OLR) at the top of the atmosphere (TOA) is equal to, and in balance with, all the absorbed sunlight...
Well Wu, that is certainly true. It HAS to be obviously, as the output from the system will be exactly a function of the inward pressure from the Sun times the coefficient or factor of whatever the GHE is at that time (the balance), since the Sun is the source, the Earth is the load, and the atmosphere and all its related parts act as a buffering zone storage battery or energy capacitor (the "circuit") effecting the quality and latency of the storage.
And of course, there is no perpetual motion, as this once again implies the creation of energy more so than put into the system which again violates the Conservation Law. All one need do is turn off the Sun for 8 minutes and 41 seconds to prove the flaw in that idea.
The author denies the greenhouse effect and is using reducto ad absurdium in his diagram.
It's a common diagram, I've seen it before, I like it in that it gives a simple and easily and immediately understandable picture of the basic concepts generally accepted, but I would redraw parts of it somewhat different. How the author can deny the GHE (I'll take your word for it), is hard to understand though when it is not up for debate. No one can deny the GHE, it is an undeniable common physical process essential to the planet, what can be debated is how or to what degree it is operating or WILL operate, which is made all the harder to pin down since the Earth itself, a major part of the equation is neither fully understood and is always changing itself.
But then, last week here, I got into an argument with someone here who INSISTED that the Moon is artificial, a hollow metal ball placed at just the right orbit in space by God to cue man in to the secrets of the universe.
And could not be dissuaded.
This makes arguing with people over the internet beyond a certain point about as useful as banging your head against the wall.