When is declaring a local variable as non-static constexpr beneficial/required?

Question

Despite reading through some StackOverflow posts (this and this) and cppreference pages, I cannot figure out how a non-static constexpr local variable would be beneficial compared to a static constexpr one.

The only difference I can see is that each invocation would have its own instance, but since it's a constexpr I don't see the practical advantage here (since, if I understand correctly, that'd cause each instance to be identical and immutable, making multiple instances simply redundant).

Or, to argue from another point: Since non-static constexpr locals are initialized at (every) function invocation, there is no advantage to a simple const local, despite that it may be used for compile-time evaluations. But when they are needed for compile-time evaluation, there's no point in making them not static.

So my question is: How is my argument deficient, and in what cases would a non-static constexpr local variable be reasonable and possibly be the best choice?