Neither C++ nor Rust give you static type safety AND dynamic dispatch because all of the safety checks for C++ and Rust happen at compile time. Not runtime.
Focusing exclusively on what happens at compile-time is to miss the whole reason static type systems are useful in the first place: they allow compile-time reasoning about runtime behavior. Just as we can use a static type system to make predictions about programs that pass around first-class functions via static dispatch, we can also use them to make predictions about programs that use vtables or other constructions to perform dynamic dispatch. (Note that the difference between those two things isn’t even particularly well-defined; a call to a first-class function passed as an argument is a form of unknown call, and it is arguably a form of dynamic dispatch.)
Lots of statically typed languages provide dynamic dispatch. In fact, essentially all mainstream ones do: C++, Java, C#, Rust, TypeScript, even modern Fortran. None of these implementations require sacrificing static type safety in any way; rather, type systems are designed to ensure such dispatch sites are well-formed in other ways, without restricting their dynamic nature. And this is entirely in line with the OP, as there is no tension whatsoever between the techniques it describes and dynamic dispatch.
Obviously static type systems are useful. I don't even think my point is contrary to anything you are saying. This is not being said as way of undermining any particular paradigm because computation is universal - the models of computation on the other hand (programming languages) are not all “the same”. There are qualitative differences.
Every single programming paradigm is a self-imposed restriction of some sort. It is precisely this restriction that we deem useful because they prevent us from shooting off our feet with shotguns. And we also prevent ourselves from being able to express certain patterns (of course we can deliberately/explicitly turn off the self-imposed restriction! ).
Like the restriction you are posing on your self is explicit in "type systems are carefully designed so that the compile-time reasoning says something useful about what actually occurs at runtime"
If you could completely determine everything that happens at runtime you wouldn't need exception/error handling!
All software would be 100% deterministic.
And it isn't.
I can say nothing of the structure of random bitstreams from unknown sources. I only know what I EXPECT them to be. Not what they actually are.
In this context parsing untrusted data IS runtime type-checking.
Trivially, because you don’t have this knowledge (and therefore you can’t encode it into your type system) at compile time.
C++ and Rust let you have compile-time safety, until you choose to give it up and have runtime checks instead. Dynamic languages only allow the latter. Static languages let you choose, dynamic languages chose the latter for you in all cases. Both can have dynamic dispatch.
Besides, static languages can have compile-time type safe dynamic dispatch, if you constrain the dispatch to compile-time-known types (eg std::variant). You only lose that if you want fully unconstrained dynamism, in which case you defer type checking to runtime. Which is what dynamic languages always have.
So both C++ and Rust DO have dynamic dispatch and the programmer gets to choose what level of the dynamism/safety trade off they want. And yes, these features ARE first class features of the languages.
PRECISELY
You have to give up the safety to get the feature.
So you "want type-safety". Until you don't.
>static languages can have compile-time type safe dynamic dispatch
"Compile-time dynamic dispatch" is an oxymoron. Dynamic dispatch happens at runtime.
You appear to be using some other definition of dynamic dispatch than the rest of the software industry...
Dynamic dispatch happens at runtime.
C++ and Rust are compile-time tools, not runtimes.