How do you verify that a device is no longer associated with an AppleID?

I thought I had taken the steps necessary to remove two devices from an AppleID, but I just logged into appleid.com and saw that they are still associated under different device names.

I tried to remove one of the items, but receive a message that the device will reappear "if it connects to the internet and Find my iPad is turned on."

I thought I had signed out of all of the services necessary to remove the products from the AppleID, but apparently I missed something. I want to make sure I do t right at this point.