There’s a very handy list of Routines that use a device on the device’s main page (via the Routines bottom sub-menu). But to give a complete picture of how the device is used you need to include scenes as well.
Proposal: Since Routines are listed on the new Automations main page, change the device’s Routine sub-menu to Automations and include sections for both Scenes and Routines (with Scenes being first because that is how the Routines main page is organized.)