"same functionality" includes a LOT more than just the basic functions. It also includes voltage tolerance, noise resistance, and all of the other things you dismissed.
But still as the author explains "If you're not reaching for the limits (like max VCC or precision) and have some luck - that might not cause issues." And I didn't dismiss that...I said "just simply don't meet the voltage tolerance and noise resistance levels of higher grade designs".
I guess what triggered me to write my first comment was the fact someone buying a "TI" something chip from eBay when it lists "China" as the seller's location and with a seller's name other than something easily verified to be TI, then it seems there is no pretense that the thing being sold is genuine TI. But the word "fake" holds the connotation that there is some deception going on. So that is why I don't think fake is the most appropriate word. I just hear that word used too much to disparage chinese made derivative imitation products. Someone who knows they don't need the noise levels and voltages tolerances can be perfectly happy and even benefit by using these instead of the more expensive genuine TI.
Well there is no way to verify that the device was manufactured by TI. That itself doesn't let you know as a matter of truth, but that does let you as a smart shopper know that it is likely fake. You can make an inference since (A) you are buying on a website that is known for providing a means for counterfeit goods from China, and (B) the seller is located in China and has no info that reliably identifies it as a seller of genuine parts.