Yes, but no. Insulation helps maintain a temperature difference. Assuming the kitchen is not perfectly isolated itself, and probably even has at least some vent

Yes, but no. Insulation helps maintain a temperature difference. Assuming the kitchen is not perfectly isolated itself, and probably even has at least some ventilation, if not airco, it will help keep the oven warm and the rest of the kitchen cool, even if it's being used 24x7.