Heat pumps don't operate very well below some temperature. That minus 12 C doesn't look quite right. 4 C makes more sense. 12 C seems a bit high.
Heat Pumps
So, something has to make the switch with dual fuel. The heat pump controller or the thermostat are the only two choices.
The best way that the system can make that decision is on the outside temperature near the intake of the outside unit.
The simplest way is to say below a certain outside temperature, lockout the heat pump and above that temperature with some hysteresis added in use the heat pump. If the HP is off, then, and only then do you bring on the fossil fuel.
A better way is to do the above, but add another condition. That condition is the system can't seem to get to the desired setpoint with the heat pump, turn the heat pump off and switch to fossil fuel.
Anyway you look at it something has to know the outside temperature to make that decision. Either the furnace can be smart or the thermostat could be smart, but they both need an outdoor sensor.
Carrier, in their Infinity models, may put the sensor in the heat pump/AC or it can be located elsewhere and connected at the furnace.
What you did notice is that when the system gets complicated, there are way too many wires to be connected at the stat and the Vision Pro requires the temperature sensor to be connected at the stat.
One model of the vision Pro line uses an "Interface module"
http://www.ntsupply.com/files/products/EIMINSTALL.pdf
that mounts at the furnace. It only requires 3 wires to the stat. With dual fuel, you'd need an extra two for the outdoor sensor. So that's a total of 5 at the stat.