"Remelting glass to make more glass is more energy intensive than making new glass."---hdfbdtbcdg
The first source I found on this subject directly contradicts your claim:
"The primary energy consumption totals are 17.0 x 10^6 Btu/ton of bottles with no postconsumer recycling, 14.8
x 10^6 Btu/ton with maximum recycling, and 15.9 x 10^6
Btu/ton for the current mix of recycling. The total primary energy use decreases as the percent of glass recycled rises"
---Energy Implications of Glass Container Recycling
Argonne National Laboratory
https://www.nrel.gov/docs/legosti/old/5703.pdf
Cool! I seem to have been wrong. I wonder how those numbers compare with reuse? One would have to look at TOC including transport (e.g. transportation of wine bottle back to growing regions).
Reusing glass is the way forward.