A headset in accordance with an embodiment of the present technology includes a headpiece, an earpiece, a yoke rotatably connected to the earpiece, and an arm extending between the yoke and the headpiece. The yoke at least partially defines a channel including a constriction at which a transverse cross-sectional area of the channel is non-circular. The arm includes a foot at least partially disposed within the channel. The foot is shaped to move through the constriction or be blocked from moving through the constriction depending on a rotational position of the arm relative to the yoke. The headset further includes a plug at least partially disposed within the channel. The plug restricts rotation of the arm relative to the yoke and thereby prevents movement of the foot out of the channel and corresponding separation of the arm from the yoke.