Using skinny wire allows you to trade off lamp intensity vs. lamp lifetime. The brightness varies by voltage^3.5 but the life varies by voltage^(-14) so a 5% drop in voltage will double your [incand.] lifetime with a 17% drop in brightness.
1. Your exponents are a little off. Lifespan is -13 and intensity (not "brightness") is 3.4.
2. It looks as if you are making the common error of failing to account for the extremely large effect of filament luminance on beam performance. As voltage drops, luminance drops off very steeply and beam performance nosedives along with it. As voltage increases, luminance and beam performance rise very steeply. It is inaccurate and misleading to leave out this factor and refer only to the percentage intensity loss or gain with voltage change. 1000 lumens with low filament luminance gives much poorer seeing performance at night than 1000 lumens with high filament luminance, and there is substantial crossover as well; 700 high-luminance lumens can give better seeing performance than 1000 low-luminance lumens.