From my layman's perspective, it feels like the many worlds interpretation is invoked out of the inability to explain why one observation occurs out of many possibilities. Given no explanation why one particular observation occurs out of many, we say all events took place... so there's no need to explain why 1 particular event happened anymore.
To me, it looks like this doesn't fix anything, just sweeps it under the rug... there's still the question "why did I observe this particular event when I could have observed multiple others"... ie: "why am I in this world instead of another" So the need to explain the "specificity" of our experience is still there. If there are multiple versions of me, the question still exists, "why am I this version?".
Is my impression false? Is there more to the many-worlds interpretation than I'm thinking?