According to [vector.syn], formatter specialization for vector<bool>::reference should be available in <vector> header and (since it satisfies BasicFormatter) it should be also default constructible.
Repro:
#include <concepts>
#include <vector>
using R = std::vector<bool>::reference;
using F = std::formatter<R>;
static_assert(std::default_initializable<F>);
Expected: correct compilation
Got: failed static assertion, because <format> include is missing
Compiler explorer: https://godbolt.org/z/sW8dM8cvd