I think there is a place for both the Petromax and Aladdin lanterns. During power outages it would be wonderful to have a bright light in the main living area of the house. The Petromax should serve here very well. The Aladdin lamps will be used in the other rooms of the house where not so much light is needed. A perfect example are my bathrooms, none of which have any outside windows.
Bedrooms are another example.
Note that different lamp manufacturers recommend you don't leave any of these lamps burning unattended. They each put off a bunch of heat. The Aladdin lamp is also a good product. The Butterfly leaves much to be desired. In my opinion, even at half the cost it's just not worth it.