FWIW, my routers are rather old, but I found MAC addresses on both.
Apple Airport Extreme>Advanced>Logging and Statistics>Logs and Statistics>DHCP Clients, mine shows a list of all devices that have accessed in the past several days, it lists IP Address, MAC Address, Lease Time, and Client ID.
Linksys BEFW11S4 V.2>Wireless>>Active MAC Table, Mine listed the two devices currently accessing the wireless signal. One was my iPhone, the other, I presume was the iFly. The only thing this router listed was "Station"(1 &2), and MAC Address.
Good luck