Both Bluetooth-compatible and Bluetooth Low Energy-compatible transceivers are selectively used when supporting wireless communications between two electronic communication devices such as a so-called smartphone and a hands-free accessory. During a first operating state the devices use Bluetooth and during a second operating state the devices use Bluetooth Low Energy. By one approach the first operating state correlates to when a first one of the devices is actively engaged in telephony and the second operating state correlates to when that first device is not actively engaged in telephony.