I believe that Rust’s approach strikes a good balance between immutable-by-default and allowing mutability when desired. It’s an issue of fail-open versus fail-safe: https://en.wikipedia.org/wiki/Fail-safe . Making variables immutable by default and mutable when explicitly specified means that if you forget to write mut, the compiler will tell you and catch potential errors. Making variables mutable by default and immutable when explicitly specified means that if you forget to write const, your code will often compile anyway and fail to catch potential errors. So, Rust chose to make variables immutable by default. And in practice, a large fraction of variables in Rust code end up immutable.
Types are not optional annotations, and mutability is part of the type. The change you’re suggesting would turn mutability into an optional annotation. (And if we went that route, it wouldn’t be long before someone suggested making it possible to turn off the warning…)
We use warnings for cases where you’ve written valid code but you might potentially have an issue; for instance, if you leave a variable unused the compiler will warn about it, which might help you catch code you forgot to write, but it might also warn because you’re debugging something and commented out some code, in which case you might momentarily ignore the warning while debugging. On the other hand, mixing integer types is an error and can’t be overridden; attempting to mutably borrow a variable that you already have borrowed is an error and can’t be overridden; calling a method that expects self (ownership) when you have a reference is an error and can’t be overridden; missing a mut is an error and can’t be overridden; attempting to take a &mut of an immutable variable or call a &mut self method on an immutable variable is an error and can’t be overridden.
The error message you receive from the compiler when you don’t include the mut will tell you, unambiguously, that you need to add mut. If you already know enough to write let, then the compiler will help you realize that you need to write let mut. So, people familiar with other languages should have the necessary stepping stones to write Rust code. There’s a line between being familiar to developers of other languages, and attempting to let developers of those languages write the same code in Rust rather than helping people learn how to write Rust and learn the important ways in which Rust is intentionally different.