Autochangeover thermostats (digital) work with Electric AC/ gas Furnace systems?

I've been looking to switch our digital thermostat to one that has the "auto changeover" feature..
Does anyone know if such a system will work with this type of furnace / ac..?
I'm assuming it would, as its just a computer making the switch from one to the other rather than manually flipping it?
Here are some models i was considering: (hunter 550) ($400 for the combo of two receivers and a base unit, rather expensive, probably wont go with this one lol)
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