It's the greasy splatter that I find objectionable. The hood takes the odors/smoke away, but the clean-up is a bear. 
Between the two of us, the SO and I have 4 or 5 camp stoves. Single burners, used for hiking and motorcycle camping, of various fuel and size. I don't bother to bring one (space and weight), because my SO does the cooking. She prefers cooking at the stove with her utensils, sink and frig, nearby. At first, I asked her repeatedly about cooking outside. I gave up, 'cause she cooks and I don't. She has no interest in cooking outside, unless it's on our 12"x12" collapsible, charcoal grill (about twice a week). I guess after 35 years of tent/motorcycle/van camping, she likes having amenities. I'm glad she enjoys them, and I can stay out of the way inside or go outside for a frosty beverage. You gotta pick your battles. I help with clean-up duties (I bought myself a frying pan splatter screen with a folding handle from William Sonoma for Christmas, although she uses it), and we get along for weeks on end. She's a keeper.