My Uncle called that an "anchor" because it held the trim piece where you anchored it. I have seen the term sticking board through the years, but I still think of them as anchors. Sometimes verbiage is harder to learn than the art of woodworking.
Never heard of them called anchors. Many on my dad's side of the family were all carpenters and cabinet makers. That's all I've ever known them by when growing up. My great grandpa, grandpa, uncles, etc all called them sticking boards. Interesting.
Acts like bench dogs, but I can certainly see the advantage when working long and possibly bendy stock. When you profile that piece you show, do you try to stand in the same place or do you just walk with the plane?
SplinterGroup....Good question. I normally stand with my hips just at the beginning of the length like I do when normally planing. But anything longer than about 30" I make a stride about halfway the length.