There's been a debate about that for the last few years.....
LLA states that in order for it to be a private place or residence it has to have a toilet, kitchen and sleeping quarters like on an anchored cabin cruiser. However, in a camp ground, case law has stated that a camp site that you've purchase is a private place....like a hotel room. So, now some are considering a rented ice hut as a private place, however, some aren't...it's one of the grey areas in Provincial Laws