I think Jetboil definitively answered the question: can fins reduce boil times? - yes! It looks like a nice pan for home use, but too heavy for backpacking. A stamped pan (like a jetboil) would end up being lighter, but you can run into problems maintaining good contact between the pan and the fins. Small contact issues can result in large thermal resistance.

Fins on the inside would be good for heating water, but would be arduous if you wanted to cook food in the pan and then clean it out afterwards. Once boiling has begun, the fins would not be of much use. The thermal resistance would be dominated by the outside of the pan.