That looks like CorelDRAW 2019.
In 2019, they rearranged options and settings dramatically. Look in CorelDRAW Options>General.
I believe they removed that capability in 2019, who know why!
I think you're right, David.
You can choose not to show the Welcome Screen on start-up, but I don't see an option for the button.
I haven't found an option in 2019 for hiding the Home screen button.
If you really want to switch it off, I can describe how you can manually edit a workspace file to do that.
Can you explain how you can manually remove the Home button in the taskbar in your workspace? I am using the new CorelDRAW 2020.