Sometimes when the coil has overheated, the coatings on the coil will bubble up and expand. The speaker will continue to work but it will scrape the sides of the magnet or buzz. This can help indicate the overall condition of the driver and indicate a need for re-coning.
But the issue of 'touching' the cone, what of that specifically?.. The voice coil/permanent magnet relationship I'm already familiar with. But, would very gently pushing back on the cone (using both hands, one on either side of the cone)reveal the damage on the voice coil by reproducing the motion of the cone's "throw?" I mean, wouldn't you feel/hear some resistive scrapping as you did this? I blew a 15" JBL bass speaker some decades back, but I knew it was gone just by the distortion.. Never did any secondary physical confirmation.. I just had it re-coned.
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