@Willam – that’s interesting my sax only does it, if i have the mouthpiece in the wrong position on the neck. It produces a slower oscillating signal, similar to when you play the sax slightly out of tune with a pitch generator. Perhaps your warble sound is different to my oscillating low C.
The horn is repaired, fixed leaks, three palm key pads replaced, cleaned all pads, replaced neck cork, lubricated what needed to be lubricated, all shined up and ready to go