The thermostat determines the temperature swing not the wiring. Most residential stats don't have deadzone adjustment. All a stat does is connect white to red to complete the circuit which starts the heating cycle when it drops below the deadzone temp, and shuts it off after the satisfied (set) temp.

In no way would you want a 1 degree swing, generally you want only 4 to 5 cycles per hour on heating. Short cycling doesn't warm up the heat exchanger and more of your money goes out the vent. My commercial honeywell doesn't allow deadzone adjustment but allows cycle limiting and learns what it needs based on the run times and temps.

Good news, these are facts unlike your unfounded nonsense.