Perhaps this is restricted. Correct me if I'm wrong here, Chris, but I know it's possible to "cha perm login"; a lot of restriction can be placed upon particular user-ids.
Leading on from what you were saying, Chris, about "The default is to leave the call bridged on the phone when the Audix answers", I guess Audix would keep a visible appearance on a digital terminal (?)
Cheryl - Perhaps someone has restricted your user-rights on the switch. Here in the UK this is quite common amongst maintainers.
Maxg ... That does not surprise me. Here in the UK, we're using an external Intuity Audix solution. This also does not take the call at the same time as the user.
I'm pretty sure, though, that standard fat/thin Audix-variants can do this.
So I'm betting that you have an Intuity ... Is that correct?
(If not maybe the configuration that Max mentions is coming into play.)