C doesn't support any untagged unions (or intersections) in the modern sense. In a set-theoretic type system, if you want to call a method of Foo, and the type of your variable is Foo|Bar|Baz, you have to do a type check for Bar and Baz first, otherwise the compiler won't compile.
Okay .. so, riddle me this Batman.
If I have an untagged union in <language_of_your_choice>, and I'm iterating over an array of elements of type `Foo|Bar|Baz`, and I have to do a dynamic cast before accessing the element (runtime typecheck) .. I believe that must actually be a tagged union under the hood, whether or not you call it a tagged union or not... right? ie. How would the program possibly know at runtime what the type of a heterogeneous set of elements is without a tag value to tell it?