Firstly, this kind of multiverse is esentially the same as a parallel worlds one; the only difference is which dimension you take the multiplicity to occur in. I prefer parallel worlds as it implies a logical branching structure, a cladistic tree which provides an overlying system to the otherwise arbitrary worlds.

Er, I suppose there is a weak sense in which you can "prefer" many worlds to inflation but they're basically unrelated theories. Its not like we're choosing between them. Both could well be true. Modal realism could be true too... thats when it gets crazy.