I completely agree with your point -- you can't compare the power of compile-time checking to Java's Optionals, for the most part.
However I tend to think that what's important about Optionals is the spreading of the notion of thinking critically about failure modes around improper input/output. "Defensive" coding is often considered a mid-range skill (at least I think), and IMO it's because a lot of junior programmers just assume if some method get ObjectThing a, it's going to be there, and not null. I think merely seeing Optional<ObjectThing> a encourages movement in the right direction as far as program correctness, a road that will almost surely tour through concepts and languages that take that kind of correctness more (ex. Swift, Haskell).
Also, Optionals are a light introduction to functors which is nice.
Checked exceptions also forces thinking critically about failure modes, but they seem to be an unpopular language feature, and few new libraries seem to use them. No other popular language has adopted them.
Why are optionals good and checked exceptions bad? (I'm certainly not implying that one replaces the other - i'm just saying that it they both have an origin of forcing programmers to think about errors)
Because checked exceptions are incompatible with the idea of standard interfaces. You can't use interfaces like List, Iterable, Runnable, etc in a world with checked exceptions; you'd have to declare special versions of each of those interfaces for every possible exceptional condition. Since we need standard interfaces to let modules work together, everyone ends up catching and wrapping checked exceptions in runtime exceptions. Any potential value is lost.
Exceptions are exceptional; the whole point is that you aren't supposed to have to think of them in normal program flow. Go gets this wrong too, forcing three extra lines of if err != null { for pretty much every single function call -- and with the added bonus of destroying stack context with each return.
They generally also break encapsulation (though you can kind of work around/sidestep this by making top-level visible errors more opaque)
Do you have a good reason you'd like to share for liking checked expressions? It seems like the reason you like it is because it's enforced by the compiler -- but I don't think this makes them the right choice, as the compiler could easily also enforce exhaustive handling of an Optional (or sum types like other languages).
If we limit ourselves to the case of Java 1.8, it is a fact that optionals are not checked by the compiler, so there is a solid benefit of using checked exceptions, solely that there is a compile time check of whether the exception was accounted for.
"...a good reason you'd like to share for liking checked expressions?"
Because they're the best solution for the problem. In Java.
The problem with Java's checked exceptions is misuse; turgid overwrought frameworks which obfuscate. Work closer to the metal. Eschew Spring, JPA, Annotations, aspects (AOP). All terrible ideas (making Java more dynamic) implemented terribly. (Quoting myself: Spring is an exception obfuscation framework.)
If you have to catch an exception you can't handle, revisit the design.
Your linked comment references sum types (Rust, Haskell) and multiple return types (Go). I haven't used those, so I can't comment.
The only solution better than checked try/catch/finally might be proper state machines. Experimenting with that is (far down) on my to do list. I'm also curious about Erlang/Elixir (and CSP in general), which uses a completely different strategy for error handling.
*"... Java 1.8, it is a fact that optionals are not checked by the compiler..."
Java's Optionals are a bad idea implemented badly.
The Correct Answer is using the Null Object pattern. Or just use LISP/Scheme. Also good ideas are intrinsic path expressions (vs method chaining) and pattern matching.
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Top-thread, someone shared the "composition over inheritance" heuristic. This is more correct. Null Object and composition are like peas and carrots.
You mention "breaking encapsulation". So? Choose composition, make most objects dumb, implement the smart/active parts as yet another Interpreter. Problem solved.
I didn't assert they were functors. Just that seeing `map` on something that isn't a list should be somewhat eye-opening to someone who just casually uses it and isn't too familiar with functional programming, that was the point.
Also, when I wrote "functor" I was thinking of https://wiki.haskell.org/Functor, is that what you're thinking of? In that case, which of the rules does it break? if not, what definition of functor were you thinking of?
Optional.of(whatever).map(identityfunction) will definitely give you back an Optional<Whatever>... Am I missing something fundamental? Also Optional.of(whatever).map(f).map(y) is equivalent in return to Optional.of(whatever).map(f . y)... (of course that's not the java syntax for composing functions but I digress)
However I tend to think that what's important about Optionals is the spreading of the notion of thinking critically about failure modes around improper input/output. "Defensive" coding is often considered a mid-range skill (at least I think), and IMO it's because a lot of junior programmers just assume if some method get ObjectThing a, it's going to be there, and not null. I think merely seeing Optional<ObjectThing> a encourages movement in the right direction as far as program correctness, a road that will almost surely tour through concepts and languages that take that kind of correctness more (ex. Swift, Haskell).
Also, Optionals are a light introduction to functors which is nice.
For more concrete actionable stuff please see other comment (https://news.ycombinator.com/item?id=13433335), there are tools that can do this at compile time for java