That ability is based on context.

Ignoring the author's culture includes their language. Consider handing just that text to an alien along side a few thousand similar, but randomly generated texts.

whoa wait, how did we get from ignoring the author's intent was ignoring all context to that means you are also ignoring the author's culture and ignoring the author's culture means ignoring their language to so the only way you can analyze a text without taking an author's intent into it is by handing it off to an alien with text mining tech?

I'm just saying the main context I'm seeing here is goalpost moving.

I have been consistent in my line of argument.

The written word is a medium of exchange not an independent artifact. If you read a recipe with "Add 3 cups of water." the author's intent is to tell you how to make something edible. So, it means poor 3 cups of water not take three 1 cup containers with water and add the containers and water to the mixture.

You can find examples like this in any lengthy text. But, death of the author is not about exploring that kind of grammatical wordplay it's about shielding the critic from reality. Thus, intent is both considered and ignored when it helps them.