I definitely was wrong; they are "comparable", but the phone is much more energy efficient.
I looked it up online, and apparently the "average amount" used by a phone is 15Wh or 0.015kWh per day.
A chest freezer apparently uses ~0.55 kWh per day, or 36 times the amount of electricity.
I don't know if the phone includes energy loss during charging, or if that is the amount being drained from the battery.
It's not 1/100th, but it is still quite a bit more. Considering this is mostly caused by insulation, I wonder if there are ways to improve the insulation to reduce this energy use further.
