Mark;
As you suggested, a WAG, I would suspect a fault in the TV. It seems that the spike on the amprobe indicates something in the circuit (or connected to the circuit) is finding a momentary low resistance path from the ungrounded conductor to the grounded conductor or EGC. In electronic equipment, a transient fault (possibly from a bad filter capacitor) in a power supply can also cause a large current draw.

Just a guess on my part, assuming the integrity of the circuit itself is good.

Mike (mamills)