"Add Plane" tool for object and mesh edit modes

I love the "Add Cube" tool but I often finding myself wanting a single plane instead of a cube. I use this workflow so much I made a simple "Cube to Plane" operator to automate the process of deleting faces and moving the origin after drawing a cube.

I've thought of making an add-on for this but a dedicated tool makes a lot of sense here — all the functionality exists already for drawing shapes and I think many would find it useful!