The Honeywell Home T6 Pro Z-Wave (TH6320ZW2007) talks Z-Wave instead of Wi-Fi, so it pairs with a local controller such as Home Assistant or Hubitat and needs no Resideo account or internet connection. Schedules and temperature control also work on the thermostat itself.
You need a Z-Wave controller, and it is made for standard low-voltage heating and cooling. Avoid the Wi-Fi T6 models (TH6320WF), which run through Resideo’s cloud app.