No, it is not what "we" see at all. "We" see the emergent properties of chemicals. Hydrogen and oxygen react as they do because of their properties. The same is true of all chemical entities. No matter how elaborate the process is, the process is determined by the properties of the constituents, nothing else.
This is beyond a basic picture of instant deterministic causation. It is also serious entropy reversal (which I think has been a valid criticism of the theory)
Entropy is only one part of the equation. Entropy can increase or decrease in any individual process.
Here is a simple analogy of entropy. You drop an uncooked egg and it shatters.
Entropy is not about organization of "stuff"; it's about organization of energy. The entropy of a shattered egg is not necessarily more than the entropy of an intact egg. If you put an egg on a cold surface and its heat dissipates to the surface, that is entropy. It doesn't even matter if the egg is shattered or whole.
The amount of information doesn't necessarily change either when the "stuff" is rearranged.
Human interventions do seem to effect entropy because volitional actions and intelligent perception allow us to create improbable states of order.