To answer your question first, the reason you probably need a 3555 is because your site window is cut before center which would require a weaker shaft, the closer to center it's cut the stiffer the shaft. I have a 50# Tomahawk which is cut before center, and I shoot 3555 30” with 175 gr tips. Conversly, I have a 48# A&H longbow that is cut past center, and I shoot 7595 with it.
In a perfect world, 5575 means these shaft should be used in a 55-75# bow, 3555 means these shaft should be used in a 35-55# bow, etc etc. Of course we don't live in a perfect world, and these numbers should be used as guide lines, or as starting point. There are way to many variables to consider, like what tip weight your going to use, string and sliencers type, length of feathers, etc.
Once you get familiar on how to cross reference these numbers with the spine weight, you will ignore the manufacture's recommendation, and be better off.
1535= 600
3555= 500
5575= 400
7595= 300
Start referring to the spine weight as 300, 340, 400, 500, 600, etc. What these numbers represent is decimals of an inch, or .300,.340,.400,.500, etc. this is the distance the shaft flexes with a 2 lb pull at 26”. So, the higher the number the weaker the shaft, the lower the number the stiffer the shaft.
This is just my opinion I could be wrong!
Hope this helps!