You really have no idea what goes on in the thinking process of the evaluator. I know the local committee (teacher, AART, principal) has the kid's whole file in front of them when they assign the GBRS, and human nature would suggest that a kid whose file contains a CogAt composite of 107 will be evaluated differently than a kid whose composite is 140. And I have to decide whether to include WISC scores in the file BEFORE I know my kid's CogAt composite.
I don't think you have to make that decision that early. You should know the CogAT score before the school completes the GBRS.
Think about when they will fill out the GBRS. It should be after the school has looked at all the CogAT scores b/c before that, they don't know who is in the pool. (I have read on this forum that at at least one school, they do a GBRS for every child and keep it in the child's file, but I don't know how that works - at our school, I am 99% sure they only do it for AAP screening.) The school gets the scores, determines the pool, mails everything to the parents, and starts assembling screening files for the pool kids. So 2 things can happen: (1) your child's CogAT scores are in the pool, so you get them in the mail along with the in-pool letter around the same time that the school has begun assembling screening files and filling out the GBRS -- BUT your child is IN the pool, so you already have high CogAT scores in the file, or (2) your child is NOT in the pool, which you will find out when you receive the CogAT scores - at this point, the school is NOT filling out the GBRS because you haven't parent-referred, so (assuming you have the WISC in hand), you complete the referral packet and include the WISC scores, and when the school gets it, they will complete a GBRS for your child, having access to everything you submitted, including WISC scores.
I don't disgree with most of what you said, and I also will likely want to have WISC scores in my pocket in case we need them, but I don't know that the school will complete the GBRS before you have a chance to get the WISC scores into the file. The only way I see that happening is if your child is IN the pool and the school starts working on the GBRS before you receive the CogAT scores in the mail. But if your child is in the pool, you may not even need the WISC scores at all. My plan is to have WISC scores at the ready and submit if needed. Just need to decide when I want to have the WISC administered.