This is a great summary. A couple of things that might be good to add are the effect of surface area and temperature gradient.
High surface area is obviously good because it provides more locations for condensation to occur, which is critical for the benefits of a fractionating column. I’ve never seen a spinning band column before but it seems like the auger in the center of the column is accomplishing this quite well.
Establishing a temperature gradient is also critical. It happens naturally as long as the column isn’t too insulated. By having the column hotter at the bottom and cooler at the top, we ensure that the final evaporation event before the condenser is occurring at the minimal required temperature. This makes it less likely that high boiling compounds sneak over with our compound of interest.
It’s often necessary to insulate a fractionating column in order to get distillation to occur at reasonable temperatures. Understanding the importance of the temperature gradient ensures the operator will not use insulation in such a way as to reduce the efficacy of the gradient.
TL;DR Add insulation as low on the column as is effective. Adding too much insulation at the top of the column can have a negative effect on separation.