This is not a bug report but a suggestion. Please refer to:
https://www.joomla.ch/forum/joomla4-programmierung/38870-tipp-wir-basteln-uns-einen-1-click-logout-button-fuer-das-back-end#50044
Could of course also be continued as a discussion.

Steps to reproduce the issue

Actual result

Wanted result

Additional comments

Suggested override from jEvents:

/**
* @package Joomla.Administrator
* @subpackage mod_user
*
* @copyright (C) 2019 Open Source Matters, Inc. <https://www.joomla.org>
* @license GNU General Public License version 2 or later; see LICENSE.txt
*/

defined('_JEXEC') or die;

use Joomla\CMS\HTML\HTMLHelper;
use Joomla\CMS\Language\Text;
use Joomla\CMS\Router\Route;
use Joomla\CMS\Session\Session;
use Joomla\CMS\Uri\Uri;

$hideLinks = $app->input->getBool('hidemainmenu');

if ($hideLinks)
{
return;
}

// Load the Bootstrap Dropdown
HTMLHelper::_('bootstrap.dropdown', '.dropdown-toggle');
?>
<div class="header-item-content dropdown header-profile">
<button class="dropdown-toggle d-flex align-items-center ps-0 py-0" data-bs-toggle="dropdown" type="button"
title="<?php echo Text::_('MOD_USER_MENU'); ?>">
<div class="header-item-icon">
<span class="icon-user-circle" aria-hidden="true"></span>
</div>
<div class="header-item-text">
<?php echo Text::_('MOD_USER_MENU'); ?>
</div>
<span class="icon-angle-down" aria-hidden="true"></span>
</button>
<div class="dropdown-menu dropdown-menu-end">
<div class="dropdown-header">
<span class="icon-user-circle icon-fw" aria-hidden="true"></span>
<?php echo Text::sprintf('MOD_USER_TITLE', $user->name); ?>
</div>
<?php $uri = Uri::getInstance(); ?>
<?php $route = 'index.php?option=com_users&task=user.edit&id=' . $user->id . '&return=' . base64_encode($uri) . '#attrib-user_details'; ?>
<a class="dropdown-item" href="<?php echo Route::_($route); ?>">
<span class="icon-user icon-fw" aria-hidden="true"></span>
<?php echo Text::_('MOD_USER_EDIT_ACCOUNT'); ?>
</a>
<?php $route = 'index.php?option=com_users&task=user.edit&id=' . $user->id . '&return=' . base64_encode($uri) . '#attrib-accessibility'; ?>
<a class="dropdown-item" href="<?php echo Route::_($route); ?>">
<span class="icon-universal-access icon-fw" aria-hidden="true"></span>
<?php echo Text::_('MOD_USER_ACCESSIBILITY_SETTINGS'); ?>
</a>
<?php $route = 'index.php?option=com_login&task=logout&' . Session::getFormToken() . '=1'; ?>
<a class="dropdown-item" href="<?php echo Route::_($route); ?>">
<span class="icon-power-off icon-fw" aria-hidden="true"></span>
<?php echo Text::_('JLOGOUT'); ?>
</a>
</div>
<div class="header-item-content dropdown header-profile">
<a href="<?php echo Route::_($route); ?>">
<span class="icon-power-off icon-fw" aria-hidden="true"></span>
</a>
</div>
</div>