Some guns like a certain bullet better. Even though two bullets may be the same in size / grain/ etc..

Are bows the same?  I have a couple different carbon arrows/ both bare shaft great, but when fletched , the one shoots better consistently... Is this normal?  If so why? If not what could it be?  

I'm shooting my new BW Longbow PL X

52 lbs. @ 29  

One shaft is a carbon express heritage 150 cut to 31 180 gr. up front...

The other is a Gold Tip Traditional 5575 32 long 180 up front..]

The Gold tip shoots exceptionaly better, every shot...

I would say it's a spine issue more so than a "bow preference" issue. The 150 is much lighter spined than the 5575 (which would be in the 250/400 spine range), and at 31" with 180 grains up front, about as whippy as you can make it.

On the other hand the 31" 5575 would be right in the envelope for 52#@29".  All my recurves are 50#-55#@28.5", and shoot a 29.5" 250/5575/400 spined arrow equally well...

You may be on the verge of weak with the cx shafts.  The Gold tips sound like the better spine.  I'll bet the gold tips shoot left of the carbon express.  Presuming you are left handed.

What is strange is the CX 150's fly left and the 5575's fly center...

AM I getting a false positive on the CX???

I shoot the 5575 cut to 29 bop out of mine (56@28) w/200 gr. up front and they bare shaft dead on.  Perhaps a bit stiff after wrap and fletching, but they group really well.  With your draw length we're prob not too far off. Bare shafts sure don't lie.  tge

The short answer is yes a bow can prefer one arrow over another even if they are of the same deflection on the spine meter. Diameter of shaft, weight per inch, degree to which riser is cut to center all can play a part in it.