The State's problem about their "double life" argument is that it applies only to RH and Leanna's marriage. Married, but wildly , out of control sexual outside his marriage. Jurors could be forgiven, actually, for finding the sheer volume of his activities as evidence of an addiction or personality disorder kind of thing.
But the State hasn't demonstrated, much less proven, that RH had a double life when it came to Cooper. For whatever reason, RH freely shared the fact he had a child and loved him, even sending his sexting ladies pics of Cooper. No double life there, rather, entirely consistent with his bragging about Cooper etc in his "real" life.