And now the truth about range mode while in range mode, your Tesla drives with the front engine only(which is noticeably more effective due to gear ratio, and location powered front wheels are more effective in directing torque than passive front wheels and RWD system). Range mode has even a funny "bug" in control software try to reverse in range mode with fully turned wheels. You may hear Crack crack crack. The motor is improperly managed (it should be rear motor used instead for reversing).
So In range mode, the front motor is used almost 100% of the time when speed is steady or using a slow acceleration. When pressing hard, the car goes back to 50/50 power distribution.
Besides that, it operates with lower climate fan speed, half of the heaters (saving up to 3kilowatts per hour) and also with a lower speed of air conditioning compressor.
The battery will not be heated at all. In winter this will kill regen. You need to drive for some time to have regen enabled. But few kilowatt-hours saved. And some lost because of no or weak regen. But still a positive gain to efficiency.
The battery will be also less cooled. 46 Celsius degrees or co will force the system to start active cooling of battery in range mode, but normal mode 40 Celcius degrees.