I don't hear a huge difference in overall distortion between the samples, the AT933s are more bass heavy, and not as bright. I do hear a little bit of what sounds like input overloading during a few of the strongest transients on both samples. There are two standard ways to wire a TA3F the same as XLR, balanced terminated pin 2 hot, pin 3 cold, pin 1 ground, or unbalanced with a wire joining pin 1 and pin 3. I don't know what you had in the rest of the chain after the mics, but if the output from the JK Labs box is hotter than what you usually run, it may be your recorder that is actually overloading at the line input. I don't here anything that sounds like something malfunctioning. This is probably the first thing you did, but if not I would consider a new set of 9v batts that are alkaline. Those heavy duty ones I see in the pics have weaker current and decay faster than alkalines.
Good luck !