Spirit does. You get a “personal” item and that is all. My son and I flew to Vegas from Albuquerque for NYE at something like $70 a ticket, but a carry-on would have more than doubled the price. Since we were literally going to a concert and leaving we decided to sleep at the airport after the show, so we had the clothes on our backs and our phones.
You should never use the clean function on the oven, even for cleaning the oven. It can severely limit the lifespan of the oven as well as cause other issues (especially if you have birds or other small animals).