Will pods make a device think that there are multiple networks in my home with the same name?

Will pods make a device think that there are multiple networks in my home with the same name? On a couple of occasions when trying to attach a new device to my home network, I got a message that there were multiple SSIDs having the same name. One of those devices was able to connect after I chose one of the two SSIDs. However, my HP Officejet 8600 Pro 4-in-1 has been unable to connect to my wireless network ever since I installed the Pods. The "Wireless Network Test Results" for the printer has a "Yes" to the question "Other networks detected matching your network name (SSID)."

Is there any way to get around this?