A `some`-typed variable or stored property wouldn't make any sense because it would be a variable that has a concrete but unknown type. You can't assign something to such a variable, because there's no way to know whether the value you're trying to assign matches the hidden concrete type of the variable.
Perhaps the "automatic type-erasure" feature you're wanting is actually generalized existentials ([1])? Generalized existentials would allow you to declare a variable whose type can be "any Equatable", rather than "some (specific but unknown) Equatable", and the compiler would allow you to "open" the existential and use it like a generic type (without throwing the "protocol can only be used as a generic constraint because it has Self or associatedtype requirements" error).
[0]: https://docs.swift.org/swift-book/LanguageGuide/OpaqueTypes.... [1]: https://github.com/apple/swift/blob/master/docs/GenericsMani...
let strings: some Collection = ["hello", "world"]
[0]https://github.com/apple/swift-evolution/blob/master/proposa...
So e.g. you can’t use `some`-typed variables or stored properties.