This is correct, MWI is a no-added sugars interpretation. Just pure and simple what the QM equations say.
There is another interpretation that can also be considered as close as possible to no-added sugars, the "ensemble interpretation". In "ensemble interpretation" the formulation of QM is understood to be applicable to ensembles of similarly prepared systems. In this interpretation QM is not really applicable to a single system by construction.
In MWI you accept it can be applied to a single system but you have to pay as a price that the system can branch into many different ones simultaneously (the "many worlds").
Thank you for the info. The relevant Wikipedia article mentions Leslie Ballentine and his textbook ("Quantum Mechanics, A Modern Development") quite a lot. I happen to have studied a couple of the latter chapters in this book and now you made me want to open it again :)
Apparently this has become easier to swallow after all the research that has gone into QM during the past century.