New South Wales
Our instructions from mission n one say "the towed mech is towed into the space directly behind the towing mech and maintains its facing". I would read that as sideways towing. I'm not disagreeing with your interpretation but rather what the rules actually say. Is towing defined in differently in more than place in the rules?
The faulty description has been noted before and will likely be fixed in a future printing. The devs have let us know a few times that the wording from the rulebook is the proper method, not the wording from the mission.