Wall strength question

I know there has been an unlimited number of questions concerning wall construction. However, I couldn't find the answer I was looking for. Taking the two following examples, both built the same way, 3/4" frame with the voids filled with insulation, and 1/8" inner and outer skin, is either one stronger than the other? Keep in mind my build will be simple with no cabinets being attached to the walls.


The reason I ask is if there is no inherent difference that I will use the 2nd option so I can have a bit more insulation.


The reason I ask is if there is no inherent difference that I will use the 2nd option so I can have a bit more insulation.