You'll need to understand of the compressor is cycling on and off as well with the fan.
In 2019-2020 I went through **** with Dometic after I upgraded my existing roof unit from the manual controls to the CT thermostat. Mine would run fine till it reached temp, then would short cycle like crazy and eventually not maintain temp in the camper. I was in contact with Dometic tech support, a field manager. Dometic admitted issues with the system such as mis-labeled thermostats, a faulty batch of logic chips, but after 4 replacement thermostats, and 2 or more control board kits not correcting the issue, they opted to replace my rooftop unit. to which I refused as I knew there was nothing wrong with the roof unit, but rather the communication system between the thermostat, and the control board. The Emails, and tech support calls went on for 8 months till I realized they had no idea how to correct my issue. After searching I found the brand Micro Air, spoke to their engineer who recognized and was familiar with my issues. Changing nothing about the Dometic configuration, I simply replaced the thermostat with the Micro Air smart thermostat one, and my issues went away.
https://www.micro-air.com/products_easytouch_rv_thermostat_touchscreen.cfm