Comment by deadlyllama

Whatever it is, it's not that. A ping to a unicast IPv4 address in the local subnet won't be transmitted at the Ethernet layer until the IP has been resolved to an Ethernet MAC address via ARP. The troublesome host must have been responding to the broadcast ARP requests with ARP responses, too. Promiscuous mode makes no difference here as those ARP requests are broadcasts and you'll receive them with or without promiscuous mode.