Greenshot comes with a nice feature: When the option "Capture mouse cursor" is enabled the mouse cursor is captured as expected. But not as part of the screenshot image but as separate image item (like the items the user can draw). This way, there are two benefits:

1. The user can decide at the latest point in time if the cursor is needed. If not, just select and remove it.
2. The cursor can be moved to a more suitable position.