DC, thats a good question.
as a youngster i built rockets and we had a software programme- that you would put your design parameters in, and then it would tell you how it would fly, or not.
it was a great programme- as it didnt tell you what to do- one just tried all the funky designs- and then compare results, and then build the engines and the rocket etc- then go down to the field and scare the hell out of the pilots i guess- i made one that flew 1.6km in vertical height- i think we were breaking a few rules there
now the only difference i see is that the rocket doesnt spin, where even a straight fletched arrow will spin to some degree, due to greater friction on one side of the feather than the other.
so with the rocket not spinning, a silhouette profile would always yield the same profile irrespective of the angle.
i remember with the rockets- the bigger the fins the better they stabilized, but the bigger they were- the more prone they were to cross winds- same with arrows i guess.
for me, the better i can get my shafts tuned, then i can use smaller fletches- which equates to many benefits.
bear in mind, these are just my thoughts, absolutely zero scientific reasoning.