Maybe I'm spoiled by other languages with more powerful type systems, but this is exactly what I want my types to do! Isn't this why we have type traits and concepts and whatnot in C++ now? If not for semantics, why have types at all, the compiler could figure out what amount of bytes it needs to store my data in, after all.
I use types for two things: to map semantics to hardware (if memory or performance optimization are important, which is rare) and to enforce correctness in my code. You're telling me that the latter is not a valid use of types and I say that's the single-biggest reason I use statically typed languages over dynamically typed languages, when I do so.
But even if that's not the case, why would I use a more general type than I need, when I know the constraints of my code? If I know that negative values are not semantically valid, why not use a type that doesn't allow those? What benefit would I get from not doing that? I mean, why do we have different sizes of integers when all the possible ones I could want can be represented as a machine-native size and I can enforce size constraints in software instead? We could also just use double's for all numbers, like some languages do.