async_lru_cache() and async_cached_property() can be written using that decorator. The implementation of async_lru_cache() is complicated because the interface of lru_cache() is complicated. But it is simpler than using _lru_cache_wrapper().

def async_lru_cache(maxsize=128, typed=False):
    if callable(maxsize) and isinstance(typed, bool):
        user_function, maxsize = maxsize, 128
        return lru_cache(maxsize, typed)(reawaitable(user_function))

    def decorating_function(user_function):
        return lru_cache(maxsize, typed)(reawaitable(user_function))

    return decorating_function

def async_cached_property(user_function):
    return cached_property(reawaitable(user_function))