Looks like I'm not the only pedant on these threads.
I prefer Noddy's explanation, anyway.
My heavy dictionary says (second meaning): "Now applied to various or fine stuffs of delicate or gauzy texture (1740)"
and (fourth meaning) "something likened to a woven fabric: a 'fabric', 'network', 'web' (of things abstract, usu. of a bad kind, as absurdities, lies, etc) (1711)
So Noddy has been right for something like 300 years. Good going, girl!