Both boards are smooth to the touch- as smooth as you could ever hope for. However, the planed board is polished. It actually reflects the light. The sanded board is just as smooth, but is not reflective. Timewise, no comparison. Hand planing requires a long time when you factor in honing the plane blade. That's why it is good for small surfaces, or one-off pieces of fine furniture. But if I have to cover a large area? Rotex every time.
As it happens, my plane blade needed sharpening in the video. When it is sharp, the plane slices across the board like butter. Six or seven passes on a board of that size and you are done. Thirty seconds max and on to the finish.
I need both tools at different times. But for what I do as a hobbyist, I am increasingly reaching for the hand plane and discovering more uses for it. I love its feel, the sound of it, its weight and the its precision. Being able to control it to within thousands of an inch. No one in their right mind would ignore power tools, and Festool make the best ones around, but the hand tools certainly earn their place in the workshop.
Richard.