Yes, they are. See this recent video from @s7habo, who I would consider an expert user. Almost every time he edits a node, he aligns the neighboring nodes to (I assume) avoid the wiggle.
Yes, I can second this. I work a lot with various numerical methods, read a lot of books on splines, and haven’t seen the cubic version you kindly linked (I was aware of the simple Schumacher scheme only).