Yes, because your wall wart is a SMPS (Switched Mode Power Supply) so has a regulated DC output voltage. Note the power adapter label where it says "Switching Power Adapter". Also note the input voltage range which tells us it's a switcher type.
Ron
Further investigations find the 12V 1A recommended input is split 2 ways from the barrel jack, 12V directly to the CN4 connector then through rainbow flying leads to the dispenser unit socket for dispenser and keypad power where presumably it's regulated down for the remote keypad circuitry and dispense motor.
However that's no so much of interest as scale drift is concerned and the supply voltage requirements for the business end where the scales themselves and the electronics reside.
Back to the 12V 1A supply path from the barrel jack.....where the 2nd path feeds a small electrolytic smoothing cap or two then directly into a LM7806 voltage regulator for the main electronic brain's supply.
Some pics:
1st image, the barrel jack is clearly visible top left and the LM7806 voltage regulator just to the right.
In the 2nd image we can see the 3 pins top right of the barrel jack and top center the 3 pins of the LM7806 voltage regulator. The PCB power traces were not plain to see so they were buzzed out with a DMM.
General comments based on decades of electronics as a hobby.
The incoming supply smoothing and decoupling can only be described as minimal and arguably could be improved so to minimise power disturbances that might affect measurements although we well know from years of discussion this impacts more so on some and not others.
LM7806 required voltage above dropout is 2V so powering the CM from just 8V is quite possible.
Datasheet:
https://www.st.com/resource/en/datasheet/cd00000444.pdf
Note there is a barrel ferrite in the cabling from the strain gauge to suppress stray voltages from impacting on measurement stability.
In closing, I do
not advise owners to open there CM scale module as parts like the strain gauge are very delicate as are some cables and the cabling connection layout is not conducive to simple dismantling or reassembly when in fact it's a bit of an awkward SOB !