I think the only reason that glue-stick glue is used is that it is a lot more straightforward to use in mass production. Unfortunately, those manufacturers who use it often cover only a small part of the back of the pad, hence not providing a solid, accurate foundation for the pad. This in turn causes a whole heap of adjustment problems well into the instrument's life.
It is common for a technician to spend a lot of time trying to get a pad to close reliably, only to eventually replace it and discover that the problem was a tiny blob of glue, providing adhesion but no solid foundation across the entire back of the pad.
IMO adjusting a Yanagisawa sax is bliss after a modern Selmer!