When manually Preconditioning via the Tesla app the fan icon illuminates in white. (Not sure if the icon illuminates if you open the Tesla app while Scheduled Preconditioning is taking place.) If battery warming is required while Preconditioning then there will be an orange graphic of a resistance heating grid (3 vertical squiggle lines) displayed next to the battery while battery warming via stator heating is taking place. Normally battery warming will take place while Preconditioning and plugged in whereas the battery temperature must be colder before Preconditioning while not plugged in can result in some battery warming. The current Tesla software seems to perform much less battery warming than in the past. One reason may be that the option to blend the friction brakes with regenerative braking when regenerative braking is reduced as when the battery is cold makes extended periods of battery warming unnecessary.
It depends on the battery temperature but I have observed that battery warming will only take place for ~15 minutes (I used to spend up to ~40 minutes preconditioning my Tesla Model Y on cold mornings. This was more than twice as long as was needed to fully warm the passenger cabin in an attempt to warm the battery and recover some of the regenerative braking capability lost to the battery being cold. With the blended friction braking option enabled there is no longer any need for extended Preconditioning to warm the battery before driving.)
Charging Stats within the Tesla app capture the daily/30 day/12 month energy consumption in kWh while plugged in, charging. Battery warming required for charging would be included in the energy consumption. Unknown whether the energy used for Preconditioning for Supercharging shows up except as part of the overall kWh usage while driving, since last charge.
The % of the battery charge used used for standard (non-Supercharger) Preconditioning shows up on the Energy display under the Parked Energy Consumption heading.
I normally charge at a 6kW rate. When Preconditioning in colder temperatures, (i.e. 35F to 40F) while not charging the energy consumption while Preconditioning is ~2kW. When Preconditioning while charging the effective charging rate is 1/3rd less as this power is being diverted to Preconditioning. (How much of the available power that gets used for Preconditioning depends on the ambient temperature and the temperature of the passenger cabin and the temperature of the Tesla vehicle's battery. At colder temperatures it is possible that the power demand for Preconditioning and may exceed the available power from the grid and some of the power used for Preconditioning will be taken from the battery, at least initially, until the Tesla vehicle and battery have sufficiently been warmed.)