"Here from a neutral position we are taught that the weight stays on the standing leg longer, That is the term used. Staying with our weight towards our partner we move the leg backwards and at this point according to Anne Lewis we have a feeling of our body moving forward as we extend behind us."
Indeed the weight stays on the standing leg as long as possible. However that does not in any way mean that the progress of the body weight stops or moves against the ultimate direction of travel - doing that would be a fatal mistake to the flow of the dance. The body weight may only pause in a risen position, a checking action, and in tango - otherwise its movement needs to be smooth continuous with no starts, stops or pulses, only gradual speedup on lowering and slowdown on rise. To do otherwise is to misunderstand the most basic premise of ballroom dancing