When you set a Temp Setpoint for the furnace be aware it only uses the remote temp sensor for Zone 1 to get actual room temp feed back... The location of the sensor will affect its accuracy ( which is about +/- 5% tolerance )
Since you have the Global In Command controlling your HVAC it has been and still is a very quirky HVAC control method.
The units with separate thermostats are much better.. Alpines have been using In Command for several years now and the issues are still not resolved.
If furnace doesn't come back on until you cycle the display Off and On then I would do a full Hard Reset of the In Command system..
The ONLY way to do this is remove shore power and disconnect batteries.. wait a few minutes and then connect battery, connect shore power and fire up In Command and further evaluate.
Even though you have Coleman AC units the In Command uses a gateway to process the info from the In Command display up to the AC units control board via each gateway for each AC..
The furnace is controlled via Zone 1 roof AC gateway...
This info in this link is something you are gonna want to be aware of down the road.... regarding In Command and HVAC control
https://in-command.net/in-command-w-global-connect/
This PDF is also one you want to read and keep.... The EOL resistor and connections on the gateway can become loose, corroded, etc and affect both heating and cooling operation
https://asasupportdocs.blob.core.win...3%20NCSP35.pdf