By that logic, physics is merely an ersatz subsidiary of mathematics, therefore technological progress mostly relies on discoveries made in mathematics.

Obligatory xkcd: https://xkcd.com/435/

"Technology is the collection of techniques, skills, methods and processes used in the production of goods or services or in the accomplishment of objectives." (from Wikipedia)

More things are technology than you seem to think. For instance, technology isn't only things.

Really? Such as when Mary-Beth Ruskai had to talk to the quantum chemists to solve inequalities foundational to quantum information today, or when Longuet-Higgins discovered the importance of geometric phase in quantum mechanics? Or when Alden Mead argued the Planck length[0] was on the atomic scale?

[0] http://ctpweb.lns.mit.edu/physics_today/phystoday/Alden-Reps...