My layman's understanding was that MWI doesn't postulate multiple universes. Rather, it posits that all particles are always in superpositions of states. What looks like a collapse to a single state is actually the particles under observation getting entangled with the particles that compose the observer: so, in the case of the double-slit experiment, you have a combined particle-observer system in a superposition of the states (particle goes through left slit / observer sees left detector activated) and (particle goes through right slit / observer sees right detector activated). Nothing has actually changed other than that entanglement: nothing is created or appears, certainly not an entire new universe.
ETA: like I say, I'm a layman, so I'd welcome any correction.
Unsurprisingly, these experiments with "partial collapse" produce exactly the predicted results of QM. And are exactly in line with, "And if the system gets more complicated still, collapse becomes irreversible." (Where "more complicated still" is very simple compared to ordinary macroscopic objects.)
So MWI goes from "That's random and we don't know why" to "That's random, we don't know why, but now we've added a universe too, although we can't prove it exists."
Something about this doesn't seem entirely convincing.