A draw-cord cinching system includes various element. For example, the system generally includes a tube having a tubular wall forming a through-channel between a first end of the tube and a second end of the tube. The tubular wall includes at least a first portion with a first amount of pliability and a second portion with a second amount of pliability, which is less than the first portion. The first and second portions may be arranged or located such that the when the tube is shortened, such as by pulling a draw cord positioned in the through-channel, the tubular wall folds or bends at the first portion having a higher amount of pliability than the second portion.