The point is to spend very little energy while no one is home, but converge the house back to a comfortable temperature by the time someone gets home. You are not present to actuate manual controls when you're not home. Programmable thermostats have been doing this with schedules for decades, but they tend to have shitty UIs and not every household runs on a regular schedule.
>for 10 minutes
Whenever we'd come back from vacation, it would take my house at least 3-4 hours to move from ~40 to ~70. Our house was actually pretty small for the neighborhood. Being able to kick the heating back on from a few hours away in the car would have been amazing. I think you have a hilariously overpowered furnace, a tiny space relative to Midwestern suburbia, or an exceptionally temperate climate.
This is a highly unusual situation (not to mention dangerous in the winter) to turn off your heat. Certainly not something you would worry about when trying to make a babysitter cozy.
Not all the way off, but there is a wide margin between comfortable and safe where it is generally cost-effective to let the temperature rest when you are not home.
>for 10 minutes
Whenever we'd come back from vacation, it would take my house at least 3-4 hours to move from ~40 to ~70. Our house was actually pretty small for the neighborhood. Being able to kick the heating back on from a few hours away in the car would have been amazing. I think you have a hilariously overpowered furnace, a tiny space relative to Midwestern suburbia, or an exceptionally temperate climate.