MWI

Does this question an answer?

Is it logically possible for the multiverse to produce macroscopic universes exhibiting any statistically significant differences than our own universe? 

I mean "statistically significant" in the most rounded possible sense.

- Any difference that our universe couldn't have gone the way of, consistent with its initial conditions all laws of physics assumed constant

- Any difference in terms of any phenomena existing at any level of abstraction in greater or lesser or with any difference in any attribute including (a) abundance (b) probability of occurrence (c) relation with other phenomena (d) internal constituents. 

- Any difference on any level at all where to be different at the bottom level requires contradicting the probabilistic rules of QM and/or causing unique consequences of those rules as a result of interaction with macroscopic phenomena and at the top level requires any significant difference in the timing, macroscopic and microscopic structure, and ultimate fate of the universe. 

The reason I think this question deserves a proper full answer. And by that I mean...not just a criticism of the way the question is formed is because there could be important consequences...which may not be worked through. And the philosophy is all about intrepidly working through the consequences? 

I've got some consequences waiting for your criticism. But I think it's important to establish your criticism or acceptance of the above first.