At 350 I don't suppose it picks up much if any smoke. I have done it 3 or 4 times on mine and to ME it just tastes better. I don't care if it doesn't make sense, as long as it tastes better
Yesterday I made awesome sandwiches with my sandwich maker bought on https://www.amazon.com/pie-iron-for-campfire-cooking/dp/B088H42W2L which was given to me a few weeks ago. I decided to make lamb and bacon sandwiches, I also added parmesan, few cherry tomatoes, pickles, onions, tabasco sauce (a couple of drops), honey mustard sauce, and fried it all in my sandwich maker. After my guests ate these sandwiches, they asked for more. I was shocked because the sandwiches turned out so tasty that they were eaten in about five minutes. Try to make such a sandwich, and your relatives will love it!