I believe many others have a distaste for the inability to dock the contextual task bar. It becomes a tedious thing to continually have to move while working in Photoshop. It's always in the way, and pinning doesn't really work well.
I suggest making it able to be docked like any other panel, integrating into the control (options) bar like every other contextual task before this, or adding to the properties panel.
I'm not a beginner, so why am I forced to have a beginner-like user experience? The beauty of Photoshop and other Adobe software is to be able to customize your tools for your workflow and how you like them. This takes away from that, and other Adobe software such as Illustrator is starting to copy what Photoshop did.
I love gen fill, however, so it presents a conundrum. Do I only turn it on when I'm using gen fill or always leave it on? To the best of my knowledge, gen fill is the only thing that the bar has that there's no other way to do other than to go to Edit > Gen Fill or use a shortcut...