Most consumers don't even know what an Intel Atom CPU is. A large portion might have some vague brand awareness of Intel, though, so mentioning Intel is good in general. For a consumer product to succeed you can't sell it and market it to only people who know the difference between different processors. That's a very small group of people.
Intel "Core" is a brand that's got nice soft rounded-rectangles and friendly blue lettering. It's designed to appeal to consumers. They don't have to know what it is exactly, they just have to recognize it and buy it.