ATK is a h-u-g-e conglomerate that owns Speer, Federal, Alliant, CCI and many other gun, ammunition, propellant, and firearm related companies.
Blazer Brass is CCI's low-cost target ammo product. It is a direct competitor and basically offers the same level of performance & quality as Winchester's "Made in USA" product that is well-known in gun circles as "WWB", or "Winchester White Box." Remington's competing product at this level is their "Remington UMC" product which comes in a green and white package.
Where you don't want to confuse your CCI Blazer Brass product is with the similarly named CCI Blazer product. The original CCI Blazer is typically priced even lower because they use a cheap, thin, less expensive aluminum cartridge case. There is no brass case, it is made of aluminum, and some folks have reported that it doesn't function nearly as well. (others have no issue with it)
It's easy to avoid confusion, even though the product name is so close. The Blazer Brass obviously uses proper brass cartridge cases. The CCI Blazer product does not.