Joseph
it certainly isn’t the be-all-end-all however if you rely on the CRC or OUI for that matter then you are relying on any hashgacha they deem reliable (including the BVK) since the CRC (or OU) accept ingredients with those hashgachas in a final product that they may supervise.
OF course if you do not rely on the CRC (and by extention other members of AKO) then the fact that the CRC says it is reliable doesn’t matter to you