Hey Steve,
I don't have a "T" but it seems to me that this stuttering is the result of uneven tension in the loop. In Doc's case, I wouldn't be surprised if the reason for this is the less than perfect slitting that's done with leader tape.
On your friends Nagra, my first suggestion would be to use a good light and magnifier and visually examine the tape path again. Almost every time I play a sticky tape and "thoroughly" clean the tape path, I find a speck that I've missed and have to re-clean it. As I'm sure you know, it doesn't take much to cause "stick/slip".
One thing that you haven't mentioned is "when" this condition began. Was the machine working fine before?