It does look like wires related to the furnace/thermostat. In may of the Coleman models,t he furnace was optional. When they were installing the wires, they put int he furnace related to them too, since that was easier later, not knowing which exact unit would end up having a furnace installed.
In my 04 Utah in the cabinet beside the door the wires go to my thermostat. Sorry I don't have a picture but on mine I have wires that came out of the thermostat that ended with a clip that connected to the clip in your picture. My wires are equally as long for some reason. Things that get stored in the cabinet do snag on those wires so it's very possible that's what happened to yours.
That's likely a safety cutoff switch that won't allow the interior lights to remain on unless the top is fully raised.
As far as the other wires (thermostat) when built the manufacturer will run standard cable harnesses in ea trailer and if an option is not installed that portion of the wiring will be unused.
Allows dealers/owners to add the items easily later. Sounds like your trailer did not come w a furnace