What are the key differences between a human audience and a machine interpreter? It is not the language or prose. It is the structure and order. For machines, details comes first. You declare all the actors and types with every non-forgiving annotations first. You may tuck the details into a header, but it still needs be ordered according to compilers and structured in the way that machines gets the details first. On the other hand, for human, it is top-down context oriented. The details are important, but not after we establish the right context.

So for literate programming, if you just think it is how you write the code (e.g. self-documenting or not), or you think it is the amount of commenting (e.g. doc string or not), if you are not first and constantly thinking about how to structure your code and establish context, you are not getting literate programming.

Now, once you understand your ends, the means (tangle or weave), will come along. It is easy to invent one if you don't have one. On the other hand, getting your coworkers to agree and work together, that's hard. It is easy to get machines to work together and it is easy for human to cope.