Rust's const generics today are limited to the built-in integral types (so, char, bool, and the various sizes of signed or unsigned integer) and the constant must actually be an obvious constant, so e.g. a literal, or something you could assign to a const in Rust. So yes that's much less flexible than C++.
Some of the flexibility in C++ here is desirable, much of it is either wanking or outright dangerous. C++ will allow a float generic for example, which is obviously a footgun because good luck explaining why Thing<NaN> and Thing<NaN> are different types...
Rust expects to sooner or later ship Const generics for user-defined types, but to exclude the nonsense of "float generic" the likely rule goes like this: Your const parameter type must derive PartialEq and Eq. It won't be enough to implement them yourself as your implementation might be nonsense (e.g. misfortunate::Maxwell implements Eq but no Maxwell is equal to anything, including itself) you'll need to use the derive macro which promises the compiler these things actually have working equivalence so that Thing<A> and Thing<B> are the same type if A and B are equivalent.