I once had a device with a flakey powersupply. I don't understand exactly why, but it caused issues with other devices plugged into the same power distribution unit. So, if they are plugged into the same circuit, it is possible you might see something there, but I don't see where the physical location of a Wireless AP would affect a non-wireless device.
THe other issue I have seen, is if a client has a wired and wireless connection, and the connections are set to Bridge for some reason, you can get all kinds of wierd IP duplications with some hardware based DHCP servers. My case was a SonicWall Firewall that I was using as a DHCP, and every time this one consultant was is in the office, I'd start getting IP conflict errors all over the network. The issue was traced back to the consultant's laptop creating a second path in the network that messed with the processing of DHCP requests and acknowledgements.