It depends on your starting point. Java-like classes are simpler to you because you already know them. JS prototypes have a few simple rules you also need to know. I personally think both are simple.
When people talk about something being simple (or complex), they're talking about how many "things" there are in the concept, rather than how easy or intuitive it is to understand (since that's subjective, as pointed out).
Prototypal inheritence is seen as simpler because conceptually it involves less "things". Both JS and Java have runtimes with values containing basic data (strings, ints, bools etc) as well as objects. Where they differ is that JS has first class functions (meaning functions are also values just like basic data and objects), which is what enables prototypal inheritance. And Java has a compile time where it generates static objects (classes) that aren't values and can't be changed, that's what enables classical inheritance.
It's generally considered that conceptually the functional approach is simpler, because in those languages functions adhere to the same rules as objects and other data, you can add new ones, remove them, move them around, copy them into a different variable etc. So all the "things" that apply to working with functions are just the same "things" that work on everything else, there's nothing really extra there, you don't need all these special rules and concepts like "reflection" where you're "reaching into the internals" of the running program or whatever it is in Java, because you don't have any "internals" to reach into. Nothing is happening at some compile time before the code actually runs, and nothing is static or out of bounds.
None of that really has much to do with prototypal inheritance itself. But it's relevant in that you can't just pick which kind of inheritance to use, you need the language constructs that enable them, so they're part of the complexity. The two forms of inheritance are basically the same thing, you just have an object with your functions on it that has a special label saying "if you don't find what you're looking for, look at this object instead". The difference is that in Javascript that label is just a standard property on an object, that can hold another object. Whereas in Java, that label is an "extends" or "inherits" clause on class that's wired up at compile time, and at runtime it's treated as static and outside of the programmer's control.
Just a nitpick, but Java’s classes are values (though immutable) and are available by the getClass method of every object.
But thank you, great summary! Though now I am interested in whether a javascript-like inheritance is pretty much possible with lambdas in java, since instance field resolution does work identically to the javascript logic (though with runtime immutable inheritance chain).
Are you using some bespoke Babel plugin that actually adds Java-like classical inheritance to JavaScript, or are you implying that the standard EcmaScript 6 classes which Babel handles by default are somehow "Java-like" instead of prototype based? Because they are not, they still use the same prototype-based inheritance, even though the syntax kinda looks like Java, and have all the same pros and cons of prototypal inheritance as before.
I kind of know what `class`, `new` and `extends` does, I never know what `__proto__` and `prototype` does without googling it and staring at the code for a long time.
The point is you don't need to know though. It's called __proto__ exactly because it's something internal that the programmer of course can have some fun with if they so choose, but it is unnecessary for using it. Unless you do extreme meta- stuff, but that is very far from normal programming and should be done by few and very sparingly and well-targeted and triple-checked.
I mean, for the advanced programmer knowing things about internal workings of the ECMAScript spec and of actual runtimes - most such bog posts are about V8, covering Chrome, Edge (new), node.js - are good to know, such as what is an Execution Context, an Execution Stack, and what is a Scope Chain and how are they implemented. Or, what happens internally when you modify an object's structure by adding or removing properties. Or, what happens when you call a function with different types and numbers of parameters, how /why this destroys internal optimizations. Most programmers will have only a fuzzy, if any, understanding of those though, and that's fine.
Even before "class" was introduced into Javascript people were constructing "classes" left and right, using the prototype, and many (most?) did not know of or did not use __proto__. The latter is used internally during runtime, it is not something you need to manipulate. Your "interface" is the `prototype` property (see https://stackoverflow.com/a/9959753/544779).
Reading the ECMAScript spec for someone thus far only well-versed in MDN as Javascript documentation feels quite weird, there's some learning curve required, new words, new concepts. But that's because now you opened the hood and are looking at the gears and the engine of the language.
The basics of some event loop internals, such as what microtasks are, are much more important to know. Asynchronous issues catch people more often and are much harder to debug.