Thank you for the suggestion and the detailed video! This is not currently a feature we've planned but we'll note that this is something you would like to see in future versions.
There is another workaround that might help; first
crop the image with C + left mouse button so that your pivot is in the center, rotate as you wish, then use Ctrl + Shift + C to reset the cropping.
Out of curiosity and so that we can understand the need a bit better, would you mind describing a bit more for what kind of use case you would use this feature?