In the context of presentations of dependent-arising as exposed in the Pali canon (as in, for instance, the quotes you give, or also Thanissaro Bhikkhu phrasing "There is nothing further for this world" at the end of the Adittapariyaya Sutta) I would trust Geshe Sonam Rinchen's explanation (in "How Karma Works"):
"The world," used to translate the Tibetan term jigten (jig rten), here has a very specific meaning because it refers to the five aggregates - forms, feelings, discriminations, compositional factors, and the six kinds of consciousnesses - which constitute our own and others' bodies and minds. The person[...] depends on these five aggregates, and it is in relation to them that we come into existence and disintegrate. Thus "basis of disintegration" is one meaning for jigten."
"The world," used to translate the Tibetan term jigten (jig rten), here has a very specific meaning because it refers to the five aggregates - forms, feelings, discriminations, compositional factors, and the six kinds of consciousnesses - which constitute our own and others' bodies and minds. The person[...] depends on these five aggregates, and it is in relation to them that we come into existence and disintegrate. Thus "basis of disintegration" is one meaning for jigten."