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The point is they are quality parts vs cheap parts. From the first day you ride your cheap chain it is wearing itself down at a faster rate and from your argument it will then be damaging the cog because it is worn down.
A valid comparison because these two parts work together and affect each other.
Expensive parts are expensive because they last. Cheap parts are cheap because they are cheap.Anyways. This is meant to be about NJS bikes and not chain purchase opinions.
Realistically - buy what you can afford and are happy with.
More expensive chains are more expensive for a reason. They are better. They are made of higher quality materials.
Cheaper chains will wear quicker and then damage the cog. You should replace your cog with your chain as they age together. Buy a decent chain with a decent cog and they will wear together but over a longer period.
You get what you pay for in life.
Here's some pictures of a cheap BLB cog after a year with a cheap KMC chain and a Phil Wood cog with a Izumi super toughness. Pretty much zero wear on the expensive Phil Wood combo. But you'll want to replace the shark tooth BLB combo.