You’re correct, the Store app does not have recycling information. I think you confused trade-in and recycling. The app is a portal to the Apple Store. Apple Store is for sales of products and services. Recycling is not a >sales< type item and is accessed through the website. I would have thought the Support app would have had the information necessary to recycle the titanium card. But after a thurough search, they lacked information on recycling. I left a suggestion at the link below.
If you want to make a suggestion directly to Apple, please use the Feedback Form linked below.
Feedback - Apple Pay - Apple