"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