Wouldn’t I still have to check for NoScore?
> a sum type with units of Score(Int) and NoScore won't allow assignments of any other "null" instances.
I get this part - I wouldn’t be able to assign ‘NewBornBaby’ (my name null) to ‘NoScore’ (my score null)
> Wouldn’t I still have to check for NoScore?
No, because you differentiate between the sum type (e.g. Maybe in Haskell) and the number type at compile time. It's a small distinction - there will still be one or two places where you ask "is this a Maybe-score, or a Just-Score, or a No-Score", but the upside is that in all places you are very clear if a No-Score is possible, and you can't confuse the value with the error signal.
I.e. if you pass maybe-scores to something that computes the mean, you'll get a compiler error. The writer of the mean function doesn't need to care you've overloaded an error value onto your numbers.
The compiler support is the important part. Languages like C/C++ know sum-types just fine. They usually surface as sentinel values (NULL for ptrs, -1 for ints, etc) or unions with type fields. The stdlib offers it as std::optional<T>. As you progress along that spectrum, you get increasing compiler support there, as well.
One could even argue that sentinel values are a slightly better choice than Go's pairs, because they are closer to being sum-types than the strict product type that is go's (result, error) tuple - at least sentinels can't be simultaneously carrying a valid value and an error.
If I pass a null into something that calculates an average, taking numbers, the TS compiler will complain now. The writer of mean() (assuming mean() is typed) doesn’t have to know anything about my code.
That's right, and the compiler will reject programs where you don't do this. It's a set of safety rails for your code. You pay a dev-/compile-time cost in exchange for your programs not exploding at runtime.
> In your example, you still have to manually check if there's a value every time, but this is not compiler-enforced.
In your example, you still have to manually check if there's a value every time, but this is not compiler-enforced. Should you forget, you will get a runtime crash at some point (likely in production at a critical time) with some kind of arithmetic error. This wouldn't be possible with a simple sum type.
Also, a sum type with units of Score(Int) and NoScore won't allow assignments of any other "null" instances. Null in one spot is interchangeable with null in any other spot, and this can lead to bugs and runtime crashes. Null should be avoided when possible.