How is it anything but the truth? The express purpose of static analysis, like a type system, is to catch bugs before running your code. That pretty clearly means that code that successfully compiles is closer to being correct than code that doesn't.

I mean, correct as in logically correct and that's just a different matter than being grammatically correct.

The parser assures your code is grammatically correct; the type system assures your code is semantically consistent, which is usually a much stronger guarantee, and by most practical measures will be closer - often much closer, and for total functions on total types, sometimes all the way - to "logically correct".