It is not considered open-air barbecue. Open-air barbecue usually refers to the use of barbecue grills or fire pits and other equipment for barbecuing outdoors, while Teppan squid is usually cooked on an iron plate indoors in the kitchen or restaurant, and does not require the use of barbecue equipment. Therefore, from the grilling method, Teppan squid does not belong to the category of open-air barbecue.