Not sure about the joytutu 26L 12 volt fridge, but assuming that it uses the standard Seacop controller, the default cut-out voltage is 10.4 volts, and the cut-in voltage is 11.7 volts. This can be changed by changing the resistance between the C & P terminals on the controller. This would be in the harness from thermostat to the controller. I would generally check the connections from the thermostat to controller.
While the boost/buck converter solution is neat, it appears to be just covering up something that is broken not necessarily a design defect. It also uses additional power from the conversion process to do this.
I also still highly recommend adding a LED across the + fan connection and the D/I terminal. Take advantage of the diagnostic capabilities of the controller.
I have also found these two upgrades to be worth the looking into. The first is call
the Merlin-II , mini smart speed controller
Merlin II performs four vital functions by controlling compressor speed;
1. Protects electronics from overload at start-up using a warm-start ramp-up routine.
2. Selects the slowest possible compressor speed for maximum system efficiency.
3. Ensures that maximum speed, and hence full system capacity, is utilized when required.
4. Gives visual indication of thermostat status, compressor speed, and compressor fault alarms
My only nit on the unit would be that the LED for errors and speed are on the board and thus not generally visible while installed and running in the van.
The second upgrade that I find useful if you want to know the temp of your fridge is the
Coastal MK3 Digital Thermostat. You could certainly find a cheaper digital thermostat, but this does include the wiring harness. This unit will work well , with the Merlin-II and another plus is the fault LED is visible on the panel.
-greg