HotLogic Mini Oven - Do I need one for milk and one for meat?

The HotLogic mini oven is essentially a hot-plate that heats to 165 degrees F inside an insulated thermal bag. Very convenient for travel or taking to the office. You can use it with a tupperware, glass, or foil container which sits on the hot plate. Are separate ones needed for meat and milk?

Not 100% sure how they work. To be sure, use either dairy or meat always with a cover. Hopefully we’ll get clear the product

This basically looks like a plata inside a lunch box.