We are only agreeing to disagree there.
Suppose the DNA was built by an intelligent been, or species. We do not currently recognize them. We would have been built bottom up and even eons into it, we still don't recognize them. And by "we" I mean "all life on earth", within our limited human species knowledge, of course.
Currently almost everything we've built which is considered slightly intelligent was done top down, the way you describe. It's like answering the question of what came first, the chicken or the egg. The egg is a bottom up approach. There is a company trying to do it bottom up: Vicarious
If a consciousness arise out of such approach, it won't necessarily acknowledge where it came from. It most likely won't know it for a very long time because it will be a "natural intelligence". It will be a product of generations of trial and error.
There's also a chance we can actually become so smart and knowledgeable of how we are doing it that even with a bottom up approach we manage somehow to make it "consciously intelligent" on purpose. Then, and only then, I'd agree with your statement. I just happen to believe this is the most unlikely way for the singularity to happen, though.
In any case, once it reaches a point of extremely superior processing capacity by definition we can't predict if knowing its origin or knowing how to communicate with us will matter at all.