Not if you have pets at home

This depends greatly on the home and how the home is used for how effective changing the thermostat during the day actually is. You have to keep it mildly in a comfortable temperature range to prevent damage to the home, plus any people or animals at home during the day will reduce the savings available by adjusting the thermostat. There's also the problem of the fact that if you let the home get too far outside of the desired range the HVAC then has to "catch up" for when you get home which may be enough to not only negate but use more energy and if it just stayed at one set temperature.

All of the increased energy use at home is nothing compared to the energy use of a personal car. My family was able to go down to a single vehicle thanks to hybrid work. Literally an entire car off the road. We live in a rural area where traveling between towns is a requirement and driving your own car is the only way to reliably get between towns, so being a single car family and not missing having a second car is a rare luxury where we live