why lock_guard can get an already locked mutex by unique_lock? - still questions

I am studying this example. I have found this question and thought that I will get an answer, but I still have a question.

I post the the code here for convenience:

std::mutex m;
std::condition_variable cv;
std::string data;
bool ready = false;
bool processed = false;

void worker_thread()
{
    // Wait until main() sends data
    std::cout << "------------------------\n";
    std::unique_lock<std::mutex> lk(m);
    cv.wait(lk, []{return ready;});

    // after the wait, we own the lock.
    std::cout << "Worker thread is processing data\n";
    data += " after processing";

    // Send data back to main()
    processed = true;
    std::cout << "Worker thread signals data processing completed\n";

    // Manual unlocking is done before notifying, to avoid waking up
    // the waiting thread only to block again (see notify_one for details)
    lk.unlock();
    cv.notify_one();
}

int main()
{
    std::thread worker(worker_thread);

    data = "Example data";
    // send data to the worker thread
    {
        std::lock_guard<std::mutex> lk(m);
        ready = true;
        std::cout << "main() signals data ready for processing\n";
    }
    cv.notify_one();

    // wait for the worker
    {
        std::unique_lock<std::mutex> lk(m);
        cv.wait(lk, []{return processed;});
    }
    std::cout << "Back in main(), data = " << data << '\n';

    worker.join();

    return 0;
}

Should not the statement std::unique_lock<std::mutex> lk(m); block the main thread because mutex m is locked by worker_thread? If yes, isn't the statement cv.wait(lk, []{return processed;}); after it unnecessary in this example? When main thread can lock the mutex, processed will be already true.