"Like I said I was basing my answer on that Scott's ring had to be forged so therefore could be melted.  Am I wrong?"

As far as I recall, there was a Secret Origins story  Post Crisis that revealed that Alan Scott's Green Lantern was not a mystical artifact as originally established, but a lantern that belonged to a previous sector 2814 Lantern who went bad and became a tyrant. But rather than confront him themselves, they turned his ring's vulnerability from yellow to wood so that his subjects could defeat him with sticks.

In the process, the ring and Lantern were (I think) broken and reforged, which I believe was justification for it not sending Alan Scott to Oa to meet the Guardians, the way a Lantern usually would.

That might have changed in the 20-25 years since that story was told, but immediately after Crisis on Infinite Earths, Alan Scott's ring and Lantern came from OA but it lacked the Corps programming and was vulnerable only to wood because of the incidents described above.

Interpreting that in light of the question posed, it may be a possibility that the ring will retain it's power to harness Lantern energy after being melted or otherwise damaged (and might be reshaped with willpower), but that melting it might damage its "programming" and "memory banks". Which would then be a function of the physical ring, not the lantern energy. Unless the thousands of inactive years with low energy reserves is what caused the programming to become corrupt.

QUOTE: As far as I recall, there was a Secret Origins story  Post Crisis that revealed that Alan Scott's Green Lantern was not a mystical artifact as originally established, but a lantern that belonged to a previous sector 2814 Lantern who went bad and became a tyrant. But rather than confront him themselves, they turned his ring's vulnerability from yellow to wood so that his subjects could defeat him with sticks.

 Alan's ring and Lantern were forged from the Starheart, which was the mystical energy of the universe that the Guardians had gathered together to destroy so the Universe would become more "science" oriented. The Starheart crashed on Earth. The GL in question was somehow merged with the Starheart. I think this was a way to explain why Alan Scott has the same ring/lantern combo as the Corps.