But more importantly, pre-allocated seats encourages people to show up late to the screening and miss the ads and trailers, and potentially even miss out on the concession stand. If you don't have pre-allocated seats, you need to turn up early to be assured of a good seat; and what are you going to do in the (initially darkened) cinema waiting by yourself, if not consume some snacks that you bought.
The cinemas around me (London) charge extra for the privilege of pre-allocation.
Is this really a problem? All cinemas in Norway (that I know of) have pre-allocated seating, but there is never anybody who ensures that people sit in the right place. If you find that someone is sitting in your seat, you simply tell them to move. I've never heard of anyone refusing to move.
I've watched movies in cinemas all over North America, and the only one that ever had numbered seating was a dinner-and-a-movie place where your seat was used to keep track of your order.
I don't go there much since it is too expensive and it isn't kept clean but at least the seats are numbered.
The local cinema were we use to live didn't have numbered seats and was much more cozy.