What you missed is that promiscuous mode only captures traffic that your promiscuous NIC sees. It doesn't have magical powers to go out onto the network and collect packets destined for other NICs. Modern networks use switches, which inspect the destination addresses of packets and only send it to the port it needs to go to, rather than broadcasting it to all ports (which is what traditional Ethernet, as embodied by shared-medium methods such as 10Base2, and emulated with twisted-pair "hubs", did).
Further, despite 802.11 series standards using a shared medium (radio waves) promiscuous mode (more properly called "monitor mode" in the wireless world) may or may not work depending on the wireless chipset and driver, because many devices are implemented in such a way that they don't allow sufficient control to actually cause the physical hardware to pass packets not intended for the station up to the OS. This also is dependent on the security mode of the network; WPA uses per-device session keys, so you can't see the traffic to other stations because it's encrypted by a key you don't know.