Most documentation gives percentage weight distrubtion between main and nose gear for ramp weight. I'm curious if this weight distribution would be the same for takeoff weight.
The difference would be from fuel burned during taxi, which is generally a very small fraction of the total fuel, so the impact on CG would be tiny. And, since burning fuel tends to bring the CG more into, rather than out of, limits, the "who cares" impact is essentially nil.
Great answer above. Acceleration also plays a negligible task regarding this as fractions of fuel are forced to settle backward in each fuel tank; this somethimes causes more noticeable spills under the wing of some overfilled airliners only when they start to roll for take off - as fuel is forced backwards and follows the trailing edge swept angle outwards until they reach the vents... and leaks.