enum Animal {
        case dog(name: String)
        case cat(name: String)
        case bird

        func sound() {
            switch self {
            case .dog(let name):
                print("\(name) says Woof!")
            case .cat(let name):
                print("\(name) says Meow!")
            case .bird:
                print("Tweet!")
            }
        }
    }

    enum Thing {
        case first(x: Int)
        case second
    }

    enum Outer {
        case ok(Thing?)
    }

    let value: Outer = .ok(.some(.first(x: 42)))

    switch value {
    case .ok(.some(.first(let x))):
        print("Matched with x = \(x)")
    case .ok(.some(.second)):
        print("Matched .second")
    case .ok(.none):
        print("Matched .none")
    }

I still think it's a meaningful reason for Rust's popularity, though, given that Swift isn't used much outside of the Apple ecosystem.

If this is a meaningful reason for popularity, why is the Rust the only popular one with it (aside from Swift's popularity within the Apple ecosystem)? Shouldn't we expect other languages, those which have been relegated to the non-mainstream (including Swift outside of the Apple ecosystem), with the same feature to also be popular?

I expect Rust is popular simply because it did well in its marketing. You can't go anywhere in tech circles without seeing an advertisement for it. Which plants the seed for when the next time someone is "I think I'll try a new language"; Rust is first in mind. Swift is a great language. It would be perfectly suitable option for someone to pick up as a new language technically, but since it is effectively never advertised outside of certain Apple developer-focused venues... Case in point: You didn't even think to think of it here, and understandably so.