Auto-entities (or templating) - entities for a single instance of integration?

I have multiple zwave controllers. So if I understand terminology:

The integration is “zwave”, of which I have three instances (call them zwave2, zwave3, zwave4 and I have literally renamed them as such).

From the documentation on auto-entities I can select by the generic integration zwave, but is it possible to select based on the instance name, e.g. zwave2. Something like this does NOT work I get nothing.

  - type: custom:auto-entities
    show_empty: false
    card: 
      type: entities
      title: ZWave2 RSSI
    filter:
      include: 
        - integration: "zwave2"
          entity_id: "*rssi*"
          options:
            secondary_info: last-changed

Actually I haven’t figured out a integration name that works alone to get them all (and the documentation says it may not always work for integration due to HA limitations without being specific).

Is there a way to match on this thing I’m calling an instance of an integration (does it have a proper Home Assistant name)?

These span (and overlap)_areas so that doesn’t work. I guess I could give each device a label and try to use that but I was saving labels in case they had a better use than this edge case.