For const to help, the object itself needs to be defined const. Just taking a `const object * ` (or `const object&` in C++) doesn't help you determine the constness of the underlying object, and that usually accounts for the majority of const usage by volume.
Limiting the scope to of actual const definitions, it can help a lot, but only in cases where the compiler couldn't move that anyways. So local variable const definitions rarely help, because the compiler can often already prove they are const by inspection (but they can help if the variable escapes).
They are useful especially for global variables (and moral equivalents, like static class members in C++), since the compiler cannot prove by examining only the current TU whether the variable is unmodified (and it is a hard problem even if the whole program can be inspected), so const is a useful promise there.