Close, but not quite right. Filament output (lumens) varies to the power 3.4, power consumption (wattage) varies to the power 1.6, and lifespan varies to the power -13 with voltage change. These exponents are approximate; they vary maybe 15% or so depending on the particulars of any given bulb design. There may be an exponent for filament luminance but I don't know it offhand.
It's worth paying attention to that lifespan exponent. Negative thirteen is an extreme influence. Most of us don't have enough light at night so it's worth trading off lifespan for the better beam performance that comes from extra light and luminance, even though it's a lopsided tradeoff. But in some cases (such as bulbs with very short rated lifespan) the reduction in lifespan can give rise to unreasonably short bulb replacement intervals.