That is saying exactly the same thing that I said; the qualification of the pointer is irrelevant; you get UB when modifying a const object. In the code snippets above,
int x; // not a const object, so can be freely modified
const int y; // is a const object, so cannot be modified
C/C++ pointer provenance doesn't include information about constness, so it doesn't matter "how" you got a mutable pointer to `x`: you're always allowed to modify `x` through that pointer, even if the pointer "came from" a const reference.
The reason for mentioning a "non-const access path" is that the type system forbids you from modifying through a const access path in the first place, so the program would already be rejected if you tried that.
I'm not saying it's a good idea to go around dropping const qualifications; `const_cast` is mostly evil and should be avoided. But at the level of the abstract machine, it's a no-op, even when going from const -> non-const, other than changing the type of the provided pointer.
The benefit of `const` is that if you don't use C-style casts that discard constness, and you don't use `const_cast`, and you don't use `mutable` or other type-unsafe or const-unsafe features, it's not possible to accidentally obtain a non-const pointer to a const object. Thus C++ actually helps you avoid this UB pretty well. But the fact that general conversion from const to non-const is permitted reduces the kinds of optimizations that can be performed.
The reason for mentioning a "non-const access path" is that the type system forbids you from modifying through a const access path in the first place, so the program would already be rejected if you tried that.
I'm not saying it's a good idea to go around dropping const qualifications; `const_cast` is mostly evil and should be avoided. But at the level of the abstract machine, it's a no-op, even when going from const -> non-const, other than changing the type of the provided pointer.
The benefit of `const` is that if you don't use C-style casts that discard constness, and you don't use `const_cast`, and you don't use `mutable` or other type-unsafe or const-unsafe features, it's not possible to accidentally obtain a non-const pointer to a const object. Thus C++ actually helps you avoid this UB pretty well. But the fact that general conversion from const to non-const is permitted reduces the kinds of optimizations that can be performed.