I can't speak for wood or carbon arrows, but since I've shot aluminum arrows for 47 years and come February, it'll be 48 years, I think I've got enough first hand shooting experience to give my comments on this. There are variables involved which are listed in the next paragraph below.
Just keep in my mind, I have a 30" draw length and I shoot 32" BOP aluminum arrows from two 66" recurves, with 19" risers and 23.5" length limbs and both recurves are cut 3/16" past center. I also shoot with a split finger tab; one over, two under. Lastly, I shoot a 12 strand Dyna97 fast flight bowstring on each recurve. BTW, the "recommended" brace height for my 66" take down recurves is 7 3/4"-8".
Since I'm a right handed shooter shooting two right handed recurves, I can make an aluminum arrow move 4" to the right by "lowering" the brace height.
The above goes against conventional wisdom that says if you lower the brace height, you stiffen the arrow so it should move the arrow to the "left".
But, I don't think conventional wisdom plays very well with long draw lengths and long aluminum arrows.
As an example, with my 42# recurve, with the point weight I want to shoot and I shoot point weights from 75 grains to 135 grains depending on aluminum arrow spine, I can move a 32" BOP aluminum arrow to the right by lowering the brace height when shooting a 2114, 2212, 2213, 2215 and 2117 arrow.
I can do the same thing with my 37# recurve shooting the same 32" BOP aluminum arrow if those arrows are 2114s, 2212s and 2213s although the point weights won't be as heavy as the point weights I use for my 42# recurve. The only exception, both bows can shoot a 32" BOP, 2212 aluminum arrow with a 75 grain point weight which was a pleasant surprise for me.
Now, for the last detail. After experimenting with different point weights and brace heights for both bows shooting different spined aluminum arrows, both bows have a 7 3/4" brace height which is right at the bottom of the recommended brace height for each of my two recurves.
I might add a few people have sent me private messages saying they have the right aluminum arrow spine, but can't make their arrows move more to the right by increasing the brace height or adding more point weight.
I told them to start lowering the brace height by one, 360 degree twist, shoot the arrow to get rid of the slop so the arrow gets used to the new brace height and see if their arrow moves to the right. If it does, but not enough, then they add another full twist to lower their brace some more. It has worked for some, but not for others.
In closing, if one is shooting an aluminum arrow, lower the brace height and try it for a two dozen shots. If it doesn't work and the arrow moves further to the left, raise the brace height back to where it was before ones starts experimenting.
I look it at this way. You've got nothing to lose and if works, you've attained your objective.