Giving the wiring in that timer and connections, I would say that the timer isn't actually that old (relatively). The wire vintage indicated that it is at least from the 80's if not newer. The newest patent on there is dated at least '81 for
"This invention relates to the controls for a water conditioning system with an operating valve having a simplified drive mechanism and a brine valve made from plastic materials and readily assembled for adaptability to softener systems of various sizes and having flexible coupling means which enable rigid plumbing parts to be connected with the plastic valve assembly."
The timer appears to be part of the softener system itself, before they came up with the electronic controls you see today (late 80's).