Hi Mfoley,
I'm glad the Telefunkens sound good to you. Telefunkens are known in audiophile circles for their clarity, neutrality and long life. While generalizations don't tell us what a given tube will sound like in a given component or system, it sounds like that description could be what's causing the tizziness on poor recordings. Maybe you're just hearing some distortion that is on the recording.
I would first recommend that you give the tubes and GAT a little time to settle in or break in, which I'm sure you were going to do anyway. Then, if you decide you want something a little warmer or more forgiving, there are plenty of tubes that fit that description.
Enjoy your music!
Tom