I meant the former, that it would be interesting to consider the possibility that there might be only a single set of self-consistent laws that self-generate from a void, and that these result in our (single) universe.

Alternatively, there might be a few or infinitely many independent sets of self-consistent laws resulting in a multiverse of entirely independent universes.

My point is that we need to consider the question, because it's a completely different question to ask, 'how many independent sets of truth self-generate from a void?' and, 'how many models satisfy a set of limited observations?'.

When we remark that something different could have happened (I could have chosen a different major in college), we mean this in a limited logical sense. If everything is entangled with everything else, and especially if the universe is deterministic, things possible in this logical sense might not really be possible. That is, that they're not actually the case in any universe.