I have a neat little Park Tool chain wear gauge I use on my bicycles. It measures the length of the chain over a couple of links. As the chain wears, it gets longer. As it gets longer, it puts a lot more stress on gear teeth (because it's only engaging with some, instead of nearly all) and wears them out.
I think it's splitting hairs to say that something that gets longer as it wears is not 'stretching'.
I think it's splitting hairs to say that something that gets longer as it wears is not 'stretching'.