Yes, the access point is on the same network as the Ethernet cable.
Let me fill in some details on this problem. I turn on the iMac; it powers up to the login screen with two accounts: Administrator and Other....
* When the iMac is plugged into an Ethernet cable, I can press Other... to bring up the login box, enter a user name and password, and that lets me into the network.
* When, however, the iMac is linked to the network via AirPort, I enter the user name and password and get the login box rejection shimmy.
Somewhere in the network or directory setups, perhaps hidden in plain sight, are settings where which let users log in through Ethernet but not through AirPort. Perhaps AirPort does not do pre-login identification for Active Directory/LDAP. It's a mystery that I would like solved.