Tado with Mitsubishi ECODAN

In my installation I have a Mitsubishi ECODAN heat pump and a Honeywell thermostat; the latter is of the TPI (Time Proporitonal Integral) type, which does not seem the best choice for thsi particular heat pump. My question is, if I replace with a Tado Smart Thermostat, how does it stabilize the temperature, given that the Heat Pump has just ON/OFF control. I need the pump to stay ON until it reaches the set temperature. Thanks for help, suggestions.