Supply for high quality white sand used for almost all glass making will be exhausted in 2037, according to British Geologist Michael Welland.
There will be a point in the near future where recycling glass will be less expensive than sourcing high quality sand.
I’ve done deep dive on making cosmetics and soap. Dove is not “soap.” Dove Beauty Bar is made with a synthetic detergent (“SYNDET”). True soap needs saponification. So, your theory was correct. :)