Saw several questions spread across different subreddits and on non-reddit sites asking about the differences. Note this is for Android 13 but may apply to older versions or be useful.
From
Chart
https://i0.wp.com/blog.esper.io/wp-content/uploads/2022/03/Comparing-behavior-of-FGS-task-manager-versus-swipe-up-and-force-stop.png