What makes you think the CT will be able to plow? I feel confident in saying that there is not a single person in Tesla's employment that has ever mounted and then operated a snowplow on a pickup truck. I'm talking about people that design or build the vehicles or have input into same - Gallery employees in snowy climates exempted.
The CT doesn't have a frame on which to mount a plow. The skin (exoskeleton) provides the structure for the body. It will be non-trivial to mount an existing plow to the CT. Further, plows run on 12V. Tesla has switched to 16V. Tons of people are having issues with accessories like air pumps in the 16V vehicles. Will the plow run with a 16V supply?
It's all of these things that NO ONE at Tesla thinks about. Li-Ion standby battery sounds great until they built it and it's 16V. Instead of taking a moment and trying to figure out a solution, they just shipped it.
The CT will not do "truck things" because no one in Tesla's design group or leadership has ever done a single "truck thing."
Don't get me wrong. Most trucks don't do "truck things." They haul the family around, commute to work, haul a boat on the weekends, plus the odd Home Depot run. The CT will work fine for this. But no 5th wheel, bed-mounted tool chest, snow plow, slinging hay bales, etc.
