But cursors don't imply mice.

With cursors you just hold shift and use down-arrows to (visually) select the lines you want. Add in Ctrl and you can move word-boundaries, add home-end and you can do beginning/end lines / pages too.

The whole thing is still quicker than vi but with the added benefits of getting much more visual feedback on what is happening and the ability to use the mouse to also quickly select things.