The "inferior" way has a clear advantage:
discoverability!What if I want to call a method but I totally forgot its name and I'm not not sure how to search for what it does? What if I don't know what I want to do, but I have this "thinggy" and I want to see "what can it do"? Or "what messages it can receive"? This is generally how you think when you build "interfaces", you start somewhere in the middle and figure out how & what to do along the way, regardless if it's "glue APIs" or "web GUIs" or "desktop GUIs".
OOP is "message passing" first of all in my view. This is how it all started in Smalltalk, and single dispatch makes sense if you want to be able to "ask an object/actor what messages it can understand".
Now yeah, truly retarded languages like Java and C++ crapped all over the "OOP as message passing" idea, and also rejected multiple-dispatch... resulting in a truly horrible experience that forces anyone to drown in design patterns.
Julia is not retarded, multiple dispatch makes sense in a functional or in a math-oriented language, but I'd prefer things like operators to be multiple-dispatch and methods single dispatch. This would be the "having the cake and eating it too" solution that would please both "math coders" and "professional software engineers", otherwise they'll keep using different languages and we'll keep wasting time writing "glue" between them imho. It's incredibly hard to reason about functions that dispatch on more than 2 arguments anyway, and those that dispatch on 2 operands could be written just fine in a Haskell-like operator syntax like:
M1 `mySpecialXVectorOperation` M2
and if you
truly need n-ary dispatch in some special cases, add a syntax like this:
{M1, M1, V3}.mySpecialXVectorOperation(42, false)
that could at least in theory allow IDEs and such provide some assistance to the developer! (not sure any IDE developers would bother developing so much introspection though...)
(But practically thinking, I still think you can get away with single-dispatch + a few tricks, and have easier-to-reason-about code as a side effect ;) )
EDIT+: And I get it that math-people have a more "first you truly understand it, then you apply it, then maybe you try and expand on it" mindset that make my kind of reasoning completely alien to them, but lots of software is and will be written in a "jump in the middle of it, hack your way to the solution, in the end re-re-re-refactor it until it not only works, but it also makes sense and you can explain it and maybe even partially prove it works".
EDIT+2: And don't get me wrong, Julia is a great language, its developers did some unbelievably awesome work... it's just not a "bridge the gap between physicists/engineers and software-people" language, despite being like 90% of the way there... I wish I could "sell it" to my "software-people" colleagues better :)