Your 2022 Lightning SR lost ~4% of 98 kWh {3.92 kWh} while sitting cold soaking at mid-point of the days journey while warming for the return trip.49% — > 45% (climatized for about 15mins before departing)
Your PTC consumes ~8KWH run full blast for 60 minutes, but the reality is that it tapers after about 7 to 8 minutes into the process, so it's likely the battery only lost 1.5 to 2.5 KWH of energy in 15 minutes of remote climate conditioning status {~2 kWh}
The remaining reduction is SOC was due to reduced efficiency/capacity of the cold soaked battery that @Aminorjourney mentioned.
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