Email address login support

Hello,

Does this plugin support sites that user only email address to login instead of username. Will this plugin work with this custom code in functions.php file

Thanks for the recent update it works. Now for better security I do not use username to login but only email address with custom login error message. When I applied the code below in my functions.php. The login error that shows is (invalid request) instead of (Invalid email or password) as indicated in the code below, also the limit login attempts does not work with the code below. Is there another way to achieve login with email address only without any form of compromise with the bp branded login plugin.

 remove_filter('authenticate', 'wp_authenticate_username_password', 20);

 
add_filter('authenticate', function($user, $email, $password){

    //Check for empty fields
    if(empty($email) || empty ($password)){        
        //create new error object and add errors to it.
        $error = new WP_Error();

        if(empty($email)){ //No email
            $error->add('empty_username', __('Email field is empty.'));
        }
        else if(!filter_var($email, FILTER_VALIDATE_EMAIL)){ //Invalid Email
            $error->add('invalid_username', __('Invalid email or password.'));
        }

        if(empty($password)){ //No password
            $error->add('empty_password', __('Password field is empty.'));
        }

        return $error;
    }

    //Check if user exists in WordPress database
    $user = get_user_by('email', $email);

    //bad email
    if(!$user){
        $error = new WP_Error();
        $error->add('invalid', __('Invalid email or password.'));
        return $error;
    }
    else{ //check password
        if(!wp_check_password($password, $user->user_pass, $user->ID)){ //bad password
            $error = new WP_Error();
            $error->add('invalid', __('Invalid email or password.'));
            return $error;
        }else{
            return $user; //passed
        }
    }
}, 20, 3);
 

Thanks for your support