I am not sure of your aim? Controls can today do many things.
1) Telemetry (the ability to control at a distance).
2) Geofencing (the ability to monitor location of mobile phones and auto turn up heating when close to home)
3) Zoning (Allowing parts of home to be independently controlled)
This can be simply the maximum temperature, or it can include time as well, and better systems can control the boiler direct.
The Geofencing varies a lot, I know Wiser uses IFTTT, and I know Nest does not allow you to set distance, only the eco temperature (away from home) and comfort temperature (at home) and it uses both your mobile phone and a PIR so walking past the thermostat also turns it to comfort. Some do it seems offer a distance setting, I think Tado offers this, but not sure.
I have Wiser and Nest, the Wiser does allow one to have many thermostats working together, both built into the TRV (thermostatic radiator valve) and wall or desk mounted, Nest USA allows use of multi-temperature sensors, the Europe version is a bit useless which is the one I have. Both Wiser and Nest will connect to boilers using analogue OpenTherm, but my boiler is not OpenTherm enabled so simple on/off control.
On/off control means the temperature is not as staple, for heating analogue is king, digital (on/off) is no where near as good, old boilers like mine no option, but with modern gas boilers (mine is oil) the boiler can modulate, and this allows it to capture the latent heat in the flue gases, so analogue control saves energy as well.
The simplest form of analogue control is the wax TRV head, it slowly opens and closes, and adjusts the flow in each radiator, once the flow is nearly stopped in all radiators the by-pass valve opens, sending hot water back to the boiler, which the boiler senses and so turns down the output. For this to work, it is important the boiler is not turned off/on, as each time it is switched off/on, it has to start setting output again from scratch, the wall thermostat and TRV can be set to work together, but it is not easy.
The easy way is to use a TRV which connects to a hub which controls the boiler, but as far as I am aware the thermostat you show does not do that, so what are you trying to do with the new thermostat?