Red, Different total-arrow weights and different FOCs will both affect Dynamic Spine.
You implied in your original post, and confirmed later, that your thicker-walled shaft was heavier (ie. total arrow shaft wt is heavier, since pnt-wt & length were the same). The heavier arrow (all other things being equal) will always fly stiffer than a lighter wt arrow (of same spine) because it is moving SLOWER than the lighter wt arrow. Your bow (or any stickbow with fixed limbs) at a fixed draw length has only a certain amount of stored energy to apply to the arrow (ie. the area under the force-draw curve - see integration in calculus). It simply takes more energy to move a heavier (mass) arrow (at the same speed) as a lighter arrow. The main power source (engine) for your arrow is your bow, and it puts out only a fixed amount of energy at your draw length. With that fixed amount of energy to apply to each (2 different weighted) arrows, the heavier arrow moves slower (because is takes more energy (Horsepower, Ft-lbs, etc) to move it; therefore, it has effectively higher dynamic spine, even though its static spine is equal to the lighter wt arrow.
A lower %FOC stiffens (increases) dynamic spine because more of the arrow's weight is CLOSER to the nock end of the shaft. Having the center of mass weight closer to the nock (as is your lower FOC arrow) effectively makes the shaft act stiffer.
PS. Rob may have been refering to more info about your arrow/bow because it does matter. Nock tightness, string type/diameter, arrow outside diameters and bow riser-cut all affect Dynamic Spine. In your case (same bow & same string) riser-cut and string are irrelevant to your question; however, nock tightness and arrow outside diameter,OD, are. If nock tightness and OD on both arrows are the same, disregard the following... If all other things on your 2 arrows are equal, the tighter nock will cause an effectively stiffer dynamic spine, because it takes energy away from the arrow, slowing it down. Also, the larger OD shaft, will effectively cause a stiffer Dynamic spine, because a LARGER OD shaft's center-line is pointed at a greater angle away from the target-to-bowstring centerline, not allowing the arrow to bend enough around the riser (archers paradox) to get to the target. This is why you can shoot a stiffer STATIC spined arrow out of a more center-shot or cut-past-center bow riser, than out of a riser not cut or cut-before-center...it isn't required to bend (in paradox) as much to get to its intended target.