When you add your personal calendar to your work calendar, it only shows up for you, not your coworkers.
LifeWork Calendar not only adds your personal calendar to your work calendar, it also creates copies of personal events and pushes them to your work calendar, making them visible to others. Sensitive titles and descriptions are stripped away from these blocks, preserving your privacy.
LifeWork also automatically shares your personal calendar with your work calendar if you haven't already, making it easy to manage all your events from one place. You can read more about that here.