Not quite gnome. Brace height does affect draw weight by putting more or less initial stress on the limbs. It's not a lot, usually less than a pound either way within reasonable brace height range. If you increase the brace height, you reduce the power stroke, which is the time the arrow spends on the string after release. The effect of shortening the power stroke is less energy/speed imparted to the arrow. But that doesn't mean that a weaker spine is required. Just the contrary, because the initial thrust at the higher brace height is greater, it would theoretically require a higher spine, but because the arrow doesn't stay on the string as long, some energy is lost through the shorter power stroke. Just the opposite occurs if you lower the brace height. It lowers draw weight a tad (and the initial thrust applied to the arrow), but because the arrow stays on the string longer, more energy is transferred to the arrow. Which of these forces wins out, if any, depends on bow design. In most cases, one cancels out the other.
Regardless, we're talking about very small differences here. Most folks wouldn't notice the difference one way or another, though some claim to fine tune their bare shafts with a twist or two of the string one way or the other.