Although you won't admit it you are essentially trying to prove the second law of thermodynamics is wrong. You have no chance of success. If you insist on trying you need to make the argument using the math of thermodynamics not business school guesswork.
Don't flatter yourself. I was already well aware that you would think that and it is obvious why you would think that. Really I have your thinking all mapped out already. I know why you are wrong. I was going to address that fundamental math in the more abstract essay. Nevertheless the math above is irrefutable.
Start searching now for your mistake instead of assuming incorrectly and egotistically presuming that my thought process was not exhaustive (when have I ever demonstrated myopia?! never!), and see if you can figure it out before I tell you.
Your mistake is you are conflating energy and entropy.
It is true that a
perpetual motion machine of the 2nd kind violates the 2nd law of thermodynamics. It is not possible to attain 100% efficiency in a thermal transfer process because
we would need an infinite reservoir (heat sink) of absolute 0 temperature internally and an infinite external ambient environment (heat source) of infinite temperature.
What is being considered with the Conservation of Energy in the First Law of Thermodynamics and the transfer of Heat in the Second Law of Thermodynamics is the fact that the matter of the universe is constant.
I was going to go more abstractly into what the matter of the universe is, because I have unifying theory on that which I think will be breakthrough. But suffice it to say that the matter of the universe does not increase nor decrease. Btw, my future elucidation will explain why this is required else the universe would need to have a fixed, absolute origin and edge and thus could not exist (would collapse into an infinitesimal point), but that is not elucidation is not necessary for the point we need to discuss now.Whereas the entropy, i.e. the probabilistic degrees-of-freedom organization of the matter, of the universe is not constant and is always increasing. This is the entropic force and the other forces and macroscopic effects emerge from it, e.g.
gravity emerges from the entropic force. See the matter of the universe is uninteresting. It doesn't cause any thing to happen. It is the organization of the matter that defines the various macroscopic effects, such as potential energy, kinetic energy, heat, etc..
The Second Law tells us that
entropy is always created by any thermodynamic process (except for idealized reversible processes which never occur in nature).
Thus the entropy created by the internet which exceeds the potential energy that can be created by the work done of building the physical internet, is an increase in efficiency above 100%. But that > 100% efficiency is not in terms of energy, but rather in terms of entropy. Thus it does not violate the Conservation of Energy.
Measuring efficiency in terms of energy is myopic, because for example I can achieve near to 100% efficiency for transferring energy from reservoir (e.g. battery) to another but that hasn't achieved anything useful.
The useful work as far as nature is concerned are the increases in entropy. Nature's entire holistic motivation is increasing entropy.
Thus the only definition for efficiency which has any consistently, holistic meaning is the ratio of entropy increase.
Thus (entropic) perpetual motions machines do exist! They are called Life a.k.a. nature.Think of the thyroid gland.
First scientists said it was a trivial side organ.
Then it was sort of important.
Now almost every biochemical process can be traced back to some influence from the thyroid and related organs.
The body is stunningly complex, and even most general practitioners are only scratching the surface.
Your subordination of entropy to a 2nd class citizen of physics and nature is abomination and travesty of science and philosophical inquiry.