The paper is well-cited, but not very new, and the citations appear somewhat superficial. I tried to quickly identify the authors' take on the only feature of Quantum Mechanics that is different between formulations: its treatment of the apparent collapse into an eigenstate during a measurement. Few argue about the part that is unitary evolution, and the process of decoherence is reasonably well established, too. It's the last step, picking a single observed eigenstate, that is the subject of debate. Unfortunately my search for "Born", "collapse" and "macroscopic" return zero hits, casting suspicion on the whole thing. Maybe someone can read through it in more detail and clarify?
Giulio Chiribella's paper, Informational derivation of quantum theory, provide a spookiness-free explanation of the foundations of quantum theory based on purification (every density matrix is the partial trace of a density matrix generated by a pure state), and further supports MWI.