I'm also not sure why you refer to these terms as misnomers
The C++ standard uses his wording -- "the stack" is automatic storage and "the heap" is the free store.
"The stack" and "the heap" are just colloquialisms carried over by C programmers. Arguing that these terms are wrong is a bit of a pedantic thing to do though, like pointing out that "The STL" is wrong as should just be called the standard library, instead of just quietly admitting that you know what people mean by these phrases
The point though, is that "the stack" isn't necessarily a stack, and "the heap" isn't necessarily a heap. They're abstract concepts in the C++ standard, and the implementations we're used to are concrete compiler decisions that fulfil those concepts.