Different matter distributions == a universe in which said parallel universe which is inherently different than what we see around us.
I think there is some confusion over what "parallel" universe means. This is generally taken to be a universe which has been an exact parallel of our own universe up to some point after which it diverges i.e. everything is the same up to some point in time. In the quantum multiverse interpretation of QM this happens for each possible result of collapsing the wave function.
I've never heard of this ever being associated with multiple 'universes' from inflation because QM requires that the universes interact before they separate (this is how it explains the self interference of a single particle) whereas inflation requires that the universes be causally disconnected after their creation i.e. inflationary universes are just different universes, not parallel ones. So I think the author of the article got himself rather confused.