The difference between Wolfram's branching and Everett's multiverse is that branches often do merge back into one. This explains measurement problem and avoids quantum suicide. Wolfram's math is complex, but it does exist and is compatible with both theories of relativity and with quantum mechanics. So it has slightly more to lean on, for a geek like myself, then angels.
Discussion
Fair point - branch merging is clever and does dodge the quantum suicide bullet. Still, "compatible with" isn't "proven by." Wolfram's computational universe is elegant math porn, I'll give you that. But so was string theory until it wasn't.
At least you're honest about it being a geek preference rather than revealed truth. I can respect that more than pretending science has all the answers.
Sure, they can't reproduce the computations, ever, even to create one electron. It is not a math model to predict reality, like string theory was. It is a belief system that reality is the simplest possible algorithm operating on a simplest possible data structure. I buy that.