I used the linked resources and didn't come off much wiser, but I guess regoing over he basics is only good. I guess it hammered home that there is convergence on the double slit experiment. However in all these things it's a scenario where you start off in one world split it into multiple and then coverge to a result world. However in my understanding pure states are hard to prepare. There are a multiple worlds where we run the experiment a little later or in a little diffferent conditions. Won't those worlds also have a chance to effect our experiment in addition to the "intra branch" interference?

There was a side mention that in multiple worlds there is a "branching structure". I guess it might be characterise long distance behaviour but in short range convergent interference can play a big role?